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Finding the Third Proportional to 129,760.31 and 278,920.13

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Solution

The third proportional to 129,760.31 and 278,920.13 is: 599,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,760.31 : 278,920.13 = 278,920.13 : x
  2. Step 2: Convert to fraction form
    129,760.31/278,920.13 = 278,920.13/x
  3. Step 3: Cross multiply
    129,760.31x = 278,920.13 × 278,920.13
  4. Step 4: Simplify right side
    129,760.31x = 77,796,436,130.02
  5. Step 5: Solve for x
    x = 77,796,436,130.02/129,760.31
  6. Step 6: Final answer
    x = 599,539.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.