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Finding the Third Proportional to 116,902.13 and 251,683.31

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Solution

The third proportional to 116,902.13 and 251,683.31 is: 541,859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,902.13 : 251,683.31 = 251,683.31 : x
  2. Step 2: Convert to fraction form
    116,902.13/251,683.31 = 251,683.31/x
  3. Step 3: Cross multiply
    116,902.13x = 251,683.31 × 251,683.31
  4. Step 4: Simplify right side
    116,902.13x = 63,344,489,790.97
  5. Step 5: Solve for x
    x = 63,344,489,790.97/116,902.13
  6. Step 6: Final answer
    x = 541,859.18

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Why These Related Problems?

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