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Finding the Third Proportional to 168,197 and 198,917

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Solution

The third proportional to 168,197 and 198,917 is: 235,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,197 : 198,917 = 198,917 : x
  2. Step 2: Convert to fraction form
    168,197/198,917 = 198,917/x
  3. Step 3: Cross multiply
    168,197x = 198,917 × 198,917
  4. Step 4: Simplify right side
    168,197x = 39,567,972,889
  5. Step 5: Solve for x
    x = 39,567,972,889/168,197
  6. Step 6: Final answer
    x = 235,247.79

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.