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Finding the Third Proportional to 150,847 and 331,825

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Solution

The third proportional to 150,847 and 331,825 is: 729,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,847 : 331,825 = 331,825 : x
  2. Step 2: Convert to fraction form
    150,847/331,825 = 331,825/x
  3. Step 3: Cross multiply
    150,847x = 331,825 × 331,825
  4. Step 4: Simplify right side
    150,847x = 110,107,830,625
  5. Step 5: Solve for x
    x = 110,107,830,625/150,847
  6. Step 6: Final answer
    x = 729,930.53

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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.