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Finding the Third Proportional to 116,898.75 and 251,677.13

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Solution

The third proportional to 116,898.75 and 251,677.13 is: 541,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,898.75 : 251,677.13 = 251,677.13 : x
  2. Step 2: Convert to fraction form
    116,898.75/251,677.13 = 251,677.13/x
  3. Step 3: Cross multiply
    116,898.75x = 251,677.13 × 251,677.13
  4. Step 4: Simplify right side
    116,898.75x = 63,341,375,248.27
  5. Step 5: Solve for x
    x = 63,341,375,248.27/116,898.75
  6. Step 6: Final answer
    x = 541,848.18

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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.