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Finding the Third Proportional to 239,158.88 and 524,966.13

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Solution

The third proportional to 239,158.88 and 524,966.13 is: 1,152,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,158.88 : 524,966.13 = 524,966.13 : x
  2. Step 2: Convert to fraction form
    239,158.88/524,966.13 = 524,966.13/x
  3. Step 3: Cross multiply
    239,158.88x = 524,966.13 × 524,966.13
  4. Step 4: Simplify right side
    239,158.88x = 275,589,432,397.52
  5. Step 5: Solve for x
    x = 275,589,432,397.52/239,158.88
  6. Step 6: Final answer
    x = 1,152,327.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.