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Finding the Third Proportional to 200,766 and 267,655

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Solution

The third proportional to 200,766 and 267,655 is: 356,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,766 : 267,655 = 267,655 : x
  2. Step 2: Convert to fraction form
    200,766/267,655 = 267,655/x
  3. Step 3: Cross multiply
    200,766x = 267,655 × 267,655
  4. Step 4: Simplify right side
    200,766x = 71,639,199,025
  5. Step 5: Solve for x
    x = 71,639,199,025/200,766
  6. Step 6: Final answer
    x = 356,829.34

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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.