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Finding the Third Proportional to 172,112 and 374,845

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Solution

The third proportional to 172,112 and 374,845 is: 816,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,112 : 374,845 = 374,845 : x
  2. Step 2: Convert to fraction form
    172,112/374,845 = 374,845/x
  3. Step 3: Cross multiply
    172,112x = 374,845 × 374,845
  4. Step 4: Simplify right side
    172,112x = 140,508,774,025
  5. Step 5: Solve for x
    x = 140,508,774,025/172,112
  6. Step 6: Final answer
    x = 816,379.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.