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Finding the Third Proportional to 146,882 and 198,179

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Solution

The third proportional to 146,882 and 198,179 is: 267,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,882 : 198,179 = 198,179 : x
  2. Step 2: Convert to fraction form
    146,882/198,179 = 198,179/x
  3. Step 3: Cross multiply
    146,882x = 198,179 × 198,179
  4. Step 4: Simplify right side
    146,882x = 39,274,916,041
  5. Step 5: Solve for x
    x = 39,274,916,041/146,882
  6. Step 6: Final answer
    x = 267,390.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.