It is possible to derive a correction to the mean chord length used in the Wigner Rational Approximation which 1) gives a better estimate of the escape probability 2) preserves the equivalence relationship for each resonance 3) preserves the value of the resonance integral. Various methods of achieving objectives 1 and 2 have been discussed previously. It is shown in this paper that employing criterion 3 dictates an averaging procedure similar to earlier ones but involving different weighting points. A table of weighting points is given.