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Finding the Third Proportional to 80,186 and 173,204

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Solution

The third proportional to 80,186 and 173,204 is: 374,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,186 : 173,204 = 173,204 : x
  2. Step 2: Convert to fraction form
    80,186/173,204 = 173,204/x
  3. Step 3: Cross multiply
    80,186x = 173,204 × 173,204
  4. Step 4: Simplify right side
    80,186x = 29,999,625,616
  5. Step 5: Solve for x
    x = 29,999,625,616/80,186
  6. Step 6: Final answer
    x = 374,125.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.