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Finding the Third Proportional to 150,589 and 200,759

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Solution

The third proportional to 150,589 and 200,759 is: 267,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,589 : 200,759 = 200,759 : x
  2. Step 2: Convert to fraction form
    150,589/200,759 = 200,759/x
  3. Step 3: Cross multiply
    150,589x = 200,759 × 200,759
  4. Step 4: Simplify right side
    150,589x = 40,304,176,081
  5. Step 5: Solve for x
    x = 40,304,176,081/150,589
  6. Step 6: Final answer
    x = 267,643.56

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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.