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Finding the Third Proportional to 121,270.50 and 250,327.13

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Solution

The third proportional to 121,270.50 and 250,327.13 is: 516,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,270.50 : 250,327.13 = 250,327.13 : x
  2. Step 2: Convert to fraction form
    121,270.50/250,327.13 = 250,327.13/x
  3. Step 3: Cross multiply
    121,270.50x = 250,327.13 × 250,327.13
  4. Step 4: Simplify right side
    121,270.50x = 62,663,669,510.77
  5. Step 5: Solve for x
    x = 62,663,669,510.77/121,270.50
  6. Step 6: Final answer
    x = 516,726.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.