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Finding the Third Proportional to 116,634.38 and 251,200.13

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Solution

The third proportional to 116,634.38 and 251,200.13 is: 541,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,634.38 : 251,200.13 = 251,200.13 : x
  2. Step 2: Convert to fraction form
    116,634.38/251,200.13 = 251,200.13/x
  3. Step 3: Cross multiply
    116,634.38x = 251,200.13 × 251,200.13
  4. Step 4: Simplify right side
    116,634.38x = 63,101,502,800.02
  5. Step 5: Solve for x
    x = 63,101,502,800.02/116,634.38
  6. Step 6: Final answer
    x = 541,019.77

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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.