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Finding the Third Proportional to 150,750 and 204,734

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Solution

The third proportional to 150,750 and 204,734 is: 278,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,750 : 204,734 = 204,734 : x
  2. Step 2: Convert to fraction form
    150,750/204,734 = 204,734/x
  3. Step 3: Cross multiply
    150,750x = 204,734 × 204,734
  4. Step 4: Simplify right side
    150,750x = 41,916,010,756
  5. Step 5: Solve for x
    x = 41,916,010,756/150,750
  6. Step 6: Final answer
    x = 278,049.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.