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i am stuck with a problem . the problem is

if a , b , c are in continued proportion ,then prove that

(a+b+c)^2/(a^2 +b^2 +c^2) =(a+b+c)/(a-b+c)

i have tried solving the problem in different way like breaking the formula of (a+b+c)^2 =a^2 +b^2 +c^2 + 2ab +2bc+2ca , then used componendo divedendo but ultimately no success. please help to solve the problem .....