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Finding the Third Proportional to 125,329.78 and 270,634.92

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Solution

The third proportional to 125,329.78 and 270,634.92 is: 584,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,329.78 : 270,634.92 = 270,634.92 : x
  2. Step 2: Convert to fraction form
    125,329.78/270,634.92 = 270,634.92/x
  3. Step 3: Cross multiply
    125,329.78x = 270,634.92 × 270,634.92
  4. Step 4: Simplify right side
    125,329.78x = 73,243,260,938.29
  5. Step 5: Solve for x
    x = 73,243,260,938.29/125,329.78
  6. Step 6: Final answer
    x = 584,404.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.