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Finding the Third Proportional to 200,670 and 267,651

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Solution

The third proportional to 200,670 and 267,651 is: 356,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,670 : 267,651 = 267,651 : x
  2. Step 2: Convert to fraction form
    200,670/267,651 = 267,651/x
  3. Step 3: Cross multiply
    200,670x = 267,651 × 267,651
  4. Step 4: Simplify right side
    200,670x = 71,637,057,801
  5. Step 5: Solve for x
    x = 71,637,057,801/200,670
  6. Step 6: Final answer
    x = 356,989.37

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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.