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Finding the Third Proportional to 171,042 and 395,918

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Solution

The third proportional to 171,042 and 395,918 is: 916,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,042 : 395,918 = 395,918 : x
  2. Step 2: Convert to fraction form
    171,042/395,918 = 395,918/x
  3. Step 3: Cross multiply
    171,042x = 395,918 × 395,918
  4. Step 4: Simplify right side
    171,042x = 156,751,062,724
  5. Step 5: Solve for x
    x = 156,751,062,724/171,042
  6. Step 6: Final answer
    x = 916,447.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.