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Finding the Third Proportional to 171,682 and 372,919

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Solution

The third proportional to 171,682 and 372,919 is: 810,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,682 : 372,919 = 372,919 : x
  2. Step 2: Convert to fraction form
    171,682/372,919 = 372,919/x
  3. Step 3: Cross multiply
    171,682x = 372,919 × 372,919
  4. Step 4: Simplify right side
    171,682x = 139,068,580,561
  5. Step 5: Solve for x
    x = 139,068,580,561/171,682
  6. Step 6: Final answer
    x = 810,035.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.