Larry has it right above.
A 158 gr bullet at a velocity of 1,308 fps produces 600 ft pounds and a momentum of 29 pound feet per second.
A 180 gr bullet at a velocity of 1,226 ft per second also produces 600 ft pounds of energy, but the momentum is greater at 31 pound feet per second.
But 600 ft pounds from one is not the same as 600 ft pounds from the other when it comes to penetration for two reasons:
Momentum
The heavier bullet produces more momentum at a lower velocity but the same kinetic energy level because kinetic energy is the mass times the velocity squared. In contrast, momentum is just mass times velocity and is thus more dependent on bullet weight than velocity.
Momentum is important as all other things being equal (like bullet construction), more momentum = more penetration.
Sectional Density
More weight in a given bullet diameter also equates to higher sectional density. Generally speaking for medium sized game you want a sectional density of at least .215.
With a 158 gr .357" bullet the sectional density is .177.
With a 180 gr .357" bullet the sectional density is .202.
Neither is ideal and is a little short of the desired .215 (or above), but the 180 gr bullet is a lot closer to the mark than the 158 gr bullet, and has the added benefit of greater momentum.
However, a 200 gr bullet in .357 gives an SD of .224 and when launched at 1,100 fps (do-able in a 6" revolver) it will produce the same 31 pound feet per second momentum as the 180 gr bullet. If you punch the velocity up to around 1,200 fps, you'll get 639 ft pounds and 34 pound feet per second of momentum.
The problem with the 200 gr bullet is that it's long enough that it might not stabilize well in slower twist barrels and it needs near maximum velocities to stabilize.
At the end of the day you may want to stay with a hard cast bullet from one of the several molds that produce a variant of the 180 gr Keith .358-429 bullet.
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.357 Magnum Rifles and Carbines
Out of a 20" carbine or rifle, you've got other options and some advantages that help offset the lower sectional density.
For example, you can get 1,800 fps from a 158 gr bullet in a 20" rifle or carbine and that will produce 1,136 ft pounds of energy and 40 pound feet per second of momentum. That extra momentum partially offsets the .177 sectional density.
With a 180 gr bullet you can get between 1,450 and 1,550 fps from a 20" barrel, depending on the bullet and at those velocities it will stabilize even in the 1-30" twist of a Rossi Model 92.
At 1,400 fps there is 840 ft pounds of energy and 37 pound feet per second of momentum. At 1,550 fps you'll get 1,023 ft pounds and 41 pound feet per second.
This again makes a hard cast 180 gr .358-429 Kieth type bullet a good choice.
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As an aside, an SD of .260 or above is preferred on large game like Elk and an SD of .300 or above is preferred on dangerous, thick skinned game.