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Finding the Third Proportional to 171,892.13 and 258,162.19

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Solution

The third proportional to 171,892.13 and 258,162.19 is: 387,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,892.13 : 258,162.19 = 258,162.19 : x
  2. Step 2: Convert to fraction form
    171,892.13/258,162.19 = 258,162.19/x
  3. Step 3: Cross multiply
    171,892.13x = 258,162.19 × 258,162.19
  4. Step 4: Simplify right side
    171,892.13x = 66,647,715,054.79
  5. Step 5: Solve for x
    x = 66,647,715,054.79/171,892.13
  6. Step 6: Final answer
    x = 387,729.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.