RE: .243
1,000 foot-pounds of energy is considered by many to be the benchmark for deer-sized game,( others say 1200, and given the size of this caliber would lean that way myself). Given that # it would all depend on what kind of bullet you are shooting.
For example an 80gr SPEER HOT-COR SP, falls below 1200 at 200yds
Yet the 85gr Sierra GameKing BTHP, holds that till just passed 300yds
*Federal Ammo Loadings