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Finding the Third Proportional to 150,511 and 331,739

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Solution

The third proportional to 150,511 and 331,739 is: 731,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,511 : 331,739 = 331,739 : x
  2. Step 2: Convert to fraction form
    150,511/331,739 = 331,739/x
  3. Step 3: Cross multiply
    150,511x = 331,739 × 331,739
  4. Step 4: Simplify right side
    150,511x = 110,050,764,121
  5. Step 5: Solve for x
    x = 110,050,764,121/150,511
  6. Step 6: Final answer
    x = 731,180.87

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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.