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Finding the Third Proportional to 150,566 and 200,731

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Solution

The third proportional to 150,566 and 200,731 is: 267,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,566 : 200,731 = 200,731 : x
  2. Step 2: Convert to fraction form
    150,566/200,731 = 200,731/x
  3. Step 3: Cross multiply
    150,566x = 200,731 × 200,731
  4. Step 4: Simplify right side
    150,566x = 40,292,934,361
  5. Step 5: Solve for x
    x = 40,292,934,361/150,566
  6. Step 6: Final answer
    x = 267,609.78

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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.