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Finding the Third Proportional to 240,769.13 and 372,616.88

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Solution

The third proportional to 240,769.13 and 372,616.88 is: 576,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,769.13 : 372,616.88 = 372,616.88 : x
  2. Step 2: Convert to fraction form
    240,769.13/372,616.88 = 372,616.88/x
  3. Step 3: Cross multiply
    240,769.13x = 372,616.88 × 372,616.88
  4. Step 4: Simplify right side
    240,769.13x = 138,843,335,534.77
  5. Step 5: Solve for x
    x = 138,843,335,534.77/240,769.13
  6. Step 6: Final answer
    x = 576,665.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.