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Finding the Third Proportional to 145,687.50 and 225,001.13

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Solution

The third proportional to 145,687.50 and 225,001.13 is: 347,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,687.50 : 225,001.13 = 225,001.13 : x
  2. Step 2: Convert to fraction form
    145,687.50/225,001.13 = 225,001.13/x
  3. Step 3: Cross multiply
    145,687.50x = 225,001.13 × 225,001.13
  4. Step 4: Simplify right side
    145,687.50x = 50,625,506,251.27
  5. Step 5: Solve for x
    x = 50,625,506,251.27/145,687.50
  6. Step 6: Final answer
    x = 347,493.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.