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Finding the Third Proportional to 200,816 and 267,725

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Solution

The third proportional to 200,816 and 267,725 is: 356,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,816 : 267,725 = 267,725 : x
  2. Step 2: Convert to fraction form
    200,816/267,725 = 267,725/x
  3. Step 3: Cross multiply
    200,816x = 267,725 × 267,725
  4. Step 4: Simplify right side
    200,816x = 71,676,675,625
  5. Step 5: Solve for x
    x = 71,676,675,625/200,816
  6. Step 6: Final answer
    x = 356,927.12

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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.