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Finding the Third Proportional to 149,605.50 and 327,825

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Solution

The third proportional to 149,605.50 and 327,825 is: 718,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,605.50 : 327,825 = 327,825 : x
  2. Step 2: Convert to fraction form
    149,605.50/327,825 = 327,825/x
  3. Step 3: Cross multiply
    149,605.50x = 327,825 × 327,825
  4. Step 4: Simplify right side
    149,605.50x = 107,469,230,625
  5. Step 5: Solve for x
    x = 107,469,230,625/149,605.50
  6. Step 6: Final answer
    x = 718,350.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.