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Finding the Third Proportional to 83 and 198

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Solution

The third proportional to 83 and 198 is: 472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 198 = 198 : x
  2. Step 2: Convert to fraction form
    83/198 = 198/x
  3. Step 3: Cross multiply
    83x = 198 × 198
  4. Step 4: Simplify right side
    83x = 39,204
  5. Step 5: Solve for x
    x = 39,204/83
  6. Step 6: Final answer
    x = 472.34

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.