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Finding the Third Proportional to 200,760.75 and 267,648.75

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Solution

The third proportional to 200,760.75 and 267,648.75 is: 356,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,760.75 : 267,648.75 = 267,648.75 : x
  2. Step 2: Convert to fraction form
    200,760.75/267,648.75 = 267,648.75/x
  3. Step 3: Cross multiply
    200,760.75x = 267,648.75 × 267,648.75
  4. Step 4: Simplify right side
    200,760.75x = 71,635,853,376.56
  5. Step 5: Solve for x
    x = 71,635,853,376.56/200,760.75
  6. Step 6: Final answer
    x = 356,822.01

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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.