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Finding the Third Proportional to 171,645.75 and 398,665.13

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Solution

The third proportional to 171,645.75 and 398,665.13 is: 925,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,645.75 : 398,665.13 = 398,665.13 : x
  2. Step 2: Convert to fraction form
    171,645.75/398,665.13 = 398,665.13/x
  3. Step 3: Cross multiply
    171,645.75x = 398,665.13 × 398,665.13
  4. Step 4: Simplify right side
    171,645.75x = 158,933,881,891.27
  5. Step 5: Solve for x
    x = 158,933,881,891.27/171,645.75
  6. Step 6: Final answer
    x = 925,941.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.