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Finding the Third Proportional to 172,972 and 379,996

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Solution

The third proportional to 172,972 and 379,996 is: 834,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,972 : 379,996 = 379,996 : x
  2. Step 2: Convert to fraction form
    172,972/379,996 = 379,996/x
  3. Step 3: Cross multiply
    172,972x = 379,996 × 379,996
  4. Step 4: Simplify right side
    172,972x = 144,396,960,016
  5. Step 5: Solve for x
    x = 144,396,960,016/172,972
  6. Step 6: Final answer
    x = 834,799.62

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