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Finding the Third Proportional to 181,016 and 397,645

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Solution

The third proportional to 181,016 and 397,645 is: 873,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,016 : 397,645 = 397,645 : x
  2. Step 2: Convert to fraction form
    181,016/397,645 = 397,645/x
  3. Step 3: Cross multiply
    181,016x = 397,645 × 397,645
  4. Step 4: Simplify right side
    181,016x = 158,121,546,025
  5. Step 5: Solve for x
    x = 158,121,546,025/181,016
  6. Step 6: Final answer
    x = 873,522.48

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Why These Related Problems?

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