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Finding the Third Proportional to 200,801 and 267,870

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Solution

The third proportional to 200,801 and 267,870 is: 357,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,801 : 267,870 = 267,870 : x
  2. Step 2: Convert to fraction form
    200,801/267,870 = 267,870/x
  3. Step 3: Cross multiply
    200,801x = 267,870 × 267,870
  4. Step 4: Simplify right side
    200,801x = 71,754,336,900
  5. Step 5: Solve for x
    x = 71,754,336,900/200,801
  6. Step 6: Final answer
    x = 357,340.54

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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.