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Finding the Third Proportional to 148,123 and 223,493

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Solution

The third proportional to 148,123 and 223,493 is: 337,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,123 : 223,493 = 223,493 : x
  2. Step 2: Convert to fraction form
    148,123/223,493 = 223,493/x
  3. Step 3: Cross multiply
    148,123x = 223,493 × 223,493
  4. Step 4: Simplify right side
    148,123x = 49,949,121,049
  5. Step 5: Solve for x
    x = 49,949,121,049/148,123
  6. Step 6: Final answer
    x = 337,213.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.