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Finding the Third Proportional to 148,508 and 196,923

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Solution

The third proportional to 148,508 and 196,923 is: 261,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,508 : 196,923 = 196,923 : x
  2. Step 2: Convert to fraction form
    148,508/196,923 = 196,923/x
  3. Step 3: Cross multiply
    148,508x = 196,923 × 196,923
  4. Step 4: Simplify right side
    148,508x = 38,778,667,929
  5. Step 5: Solve for x
    x = 38,778,667,929/148,508
  6. Step 6: Final answer
    x = 261,121.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.