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Finding the Third Proportional to 200,790 and 267,683

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Solution

The third proportional to 200,790 and 267,683 is: 356,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,790 : 267,683 = 267,683 : x
  2. Step 2: Convert to fraction form
    200,790/267,683 = 267,683/x
  3. Step 3: Cross multiply
    200,790x = 267,683 × 267,683
  4. Step 4: Simplify right side
    200,790x = 71,654,188,489
  5. Step 5: Solve for x
    x = 71,654,188,489/200,790
  6. Step 6: Final answer
    x = 356,861.34

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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.