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Finding the Third Proportional to 172,181 and 379,162

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Solution

The third proportional to 172,181 and 379,162 is: 834,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,181 : 379,162 = 379,162 : x
  2. Step 2: Convert to fraction form
    172,181/379,162 = 379,162/x
  3. Step 3: Cross multiply
    172,181x = 379,162 × 379,162
  4. Step 4: Simplify right side
    172,181x = 143,763,822,244
  5. Step 5: Solve for x
    x = 143,763,822,244/172,181
  6. Step 6: Final answer
    x = 834,957.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.