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Finding the Third Proportional to 131,666 and 198,662

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Solution

The third proportional to 131,666 and 198,662 is: 299,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,666 : 198,662 = 198,662 : x
  2. Step 2: Convert to fraction form
    131,666/198,662 = 198,662/x
  3. Step 3: Cross multiply
    131,666x = 198,662 × 198,662
  4. Step 4: Simplify right side
    131,666x = 39,466,590,244
  5. Step 5: Solve for x
    x = 39,466,590,244/131,666
  6. Step 6: Final answer
    x = 299,747.77

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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.