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Finding the Third Proportional to 132,727 and 286,567

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Solution

The third proportional to 132,727 and 286,567 is: 618,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,727 : 286,567 = 286,567 : x
  2. Step 2: Convert to fraction form
    132,727/286,567 = 286,567/x
  3. Step 3: Cross multiply
    132,727x = 286,567 × 286,567
  4. Step 4: Simplify right side
    132,727x = 82,120,645,489
  5. Step 5: Solve for x
    x = 82,120,645,489/132,727
  6. Step 6: Final answer
    x = 618,718.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.