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Finding the Third Proportional to 148,682.75 and 222,375

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Solution

The third proportional to 148,682.75 and 222,375 is: 332,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,682.75 : 222,375 = 222,375 : x
  2. Step 2: Convert to fraction form
    148,682.75/222,375 = 222,375/x
  3. Step 3: Cross multiply
    148,682.75x = 222,375 × 222,375
  4. Step 4: Simplify right side
    148,682.75x = 49,450,640,625
  5. Step 5: Solve for x
    x = 49,450,640,625/148,682.75
  6. Step 6: Final answer
    x = 332,591.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.