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Finding the Third Proportional to 150,522 and 331,761

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Solution

The third proportional to 150,522 and 331,761 is: 731,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,522 : 331,761 = 331,761 : x
  2. Step 2: Convert to fraction form
    150,522/331,761 = 331,761/x
  3. Step 3: Cross multiply
    150,522x = 331,761 × 331,761
  4. Step 4: Simplify right side
    150,522x = 110,065,361,121
  5. Step 5: Solve for x
    x = 110,065,361,121/150,522
  6. Step 6: Final answer
    x = 731,224.41

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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.