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Finding the Third Proportional to 200,691 and 267,687

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Solution

The third proportional to 200,691 and 267,687 is: 357,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,691 : 267,687 = 267,687 : x
  2. Step 2: Convert to fraction form
    200,691/267,687 = 267,687/x
  3. Step 3: Cross multiply
    200,691x = 267,687 × 267,687
  4. Step 4: Simplify right side
    200,691x = 71,656,329,969
  5. Step 5: Solve for x
    x = 71,656,329,969/200,691
  6. Step 6: Final answer
    x = 357,048.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.