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Finding the Third Proportional to 150,524 and 331,766

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Solution

The third proportional to 150,524 and 331,766 is: 731,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,524 : 331,766 = 331,766 : x
  2. Step 2: Convert to fraction form
    150,524/331,766 = 331,766/x
  3. Step 3: Cross multiply
    150,524x = 331,766 × 331,766
  4. Step 4: Simplify right side
    150,524x = 110,068,678,756
  5. Step 5: Solve for x
    x = 110,068,678,756/150,524
  6. Step 6: Final answer
    x = 731,236.74

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Why These Related Problems?

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