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Finding the Third Proportional to 150,591 and 200,760

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Solution

The third proportional to 150,591 and 200,760 is: 267,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,591 : 200,760 = 200,760 : x
  2. Step 2: Convert to fraction form
    150,591/200,760 = 200,760/x
  3. Step 3: Cross multiply
    150,591x = 200,760 × 200,760
  4. Step 4: Simplify right side
    150,591x = 40,304,577,600
  5. Step 5: Solve for x
    x = 40,304,577,600/150,591
  6. Step 6: Final answer
    x = 267,642.67

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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.