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Finding the Third Proportional to 115,877 and 250,708

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Solution

The third proportional to 115,877 and 250,708 is: 542,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,877 : 250,708 = 250,708 : x
  2. Step 2: Convert to fraction form
    115,877/250,708 = 250,708/x
  3. Step 3: Cross multiply
    115,877x = 250,708 × 250,708
  4. Step 4: Simplify right side
    115,877x = 62,854,501,264
  5. Step 5: Solve for x
    x = 62,854,501,264/115,877
  6. Step 6: Final answer
    x = 542,424.31

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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.