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Finding the Third Proportional to 150,734 and 331,060

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Solution

The third proportional to 150,734 and 331,060 is: 727,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,734 : 331,060 = 331,060 : x
  2. Step 2: Convert to fraction form
    150,734/331,060 = 331,060/x
  3. Step 3: Cross multiply
    150,734x = 331,060 × 331,060
  4. Step 4: Simplify right side
    150,734x = 109,600,723,600
  5. Step 5: Solve for x
    x = 109,600,723,600/150,734
  6. Step 6: Final answer
    x = 727,113.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.