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Finding the Third Proportional to 171,080 and 375,694

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Solution

The third proportional to 171,080 and 375,694 is: 825,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,080 : 375,694 = 375,694 : x
  2. Step 2: Convert to fraction form
    171,080/375,694 = 375,694/x
  3. Step 3: Cross multiply
    171,080x = 375,694 × 375,694
  4. Step 4: Simplify right side
    171,080x = 141,145,981,636
  5. Step 5: Solve for x
    x = 141,145,981,636/171,080
  6. Step 6: Final answer
    x = 825,029.12

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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.