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Finding the Third Proportional to 146,212 and 198,126

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Solution

The third proportional to 146,212 and 198,126 is: 268,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,212 : 198,126 = 198,126 : x
  2. Step 2: Convert to fraction form
    146,212/198,126 = 198,126/x
  3. Step 3: Cross multiply
    146,212x = 198,126 × 198,126
  4. Step 4: Simplify right side
    146,212x = 39,253,911,876
  5. Step 5: Solve for x
    x = 39,253,911,876/146,212
  6. Step 6: Final answer
    x = 268,472.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.