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Finding the Third Proportional to 135,224.44 and 288,547.31

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Solution

The third proportional to 135,224.44 and 288,547.31 is: 615,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,224.44 : 288,547.31 = 288,547.31 : x
  2. Step 2: Convert to fraction form
    135,224.44/288,547.31 = 288,547.31/x
  3. Step 3: Cross multiply
    135,224.44x = 288,547.31 × 288,547.31
  4. Step 4: Simplify right side
    135,224.44x = 83,259,551,550.97
  5. Step 5: Solve for x
    x = 83,259,551,550.97/135,224.44
  6. Step 6: Final answer
    x = 615,713.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.