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Finding the Third Proportional to 146,418 and 198,885

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Solution

The third proportional to 146,418 and 198,885 is: 270,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,418 : 198,885 = 198,885 : x
  2. Step 2: Convert to fraction form
    146,418/198,885 = 198,885/x
  3. Step 3: Cross multiply
    146,418x = 198,885 × 198,885
  4. Step 4: Simplify right side
    146,418x = 39,555,243,225
  5. Step 5: Solve for x
    x = 39,555,243,225/146,418
  6. Step 6: Final answer
    x = 270,152.87

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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.