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Finding the Third Proportional to 80,214 and 162,375

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Solution

The third proportional to 80,214 and 162,375 is: 328,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,214 : 162,375 = 162,375 : x
  2. Step 2: Convert to fraction form
    80,214/162,375 = 162,375/x
  3. Step 3: Cross multiply
    80,214x = 162,375 × 162,375
  4. Step 4: Simplify right side
    80,214x = 26,365,640,625
  5. Step 5: Solve for x
    x = 26,365,640,625/80,214
  6. Step 6: Final answer
    x = 328,691.26

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.