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Finding the Third Proportional to 149,721.75 and 225,190.13

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Solution

The third proportional to 149,721.75 and 225,190.13 is: 338,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,721.75 : 225,190.13 = 225,190.13 : x
  2. Step 2: Convert to fraction form
    149,721.75/225,190.13 = 225,190.13/x
  3. Step 3: Cross multiply
    149,721.75x = 225,190.13 × 225,190.13
  4. Step 4: Simplify right side
    149,721.75x = 50,710,592,397.52
  5. Step 5: Solve for x
    x = 50,710,592,397.52/149,721.75
  6. Step 6: Final answer
    x = 338,698.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.