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Finding the Third Proportional to 200,808.38 and 267,714.56

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Solution

The third proportional to 200,808.38 and 267,714.56 is: 356,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,808.38 : 267,714.56 = 267,714.56 : x
  2. Step 2: Convert to fraction form
    200,808.38/267,714.56 = 267,714.56/x
  3. Step 3: Cross multiply
    200,808.38x = 267,714.56 × 267,714.56
  4. Step 4: Simplify right side
    200,808.38x = 71,671,086,974.57
  5. Step 5: Solve for x
    x = 71,671,086,974.57/200,808.38
  6. Step 6: Final answer
    x = 356,912.84

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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.