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Finding the Third Proportional to 182,172 and 395,448

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Solution

The third proportional to 182,172 and 395,448 is: 858,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,172 : 395,448 = 395,448 : x
  2. Step 2: Convert to fraction form
    182,172/395,448 = 395,448/x
  3. Step 3: Cross multiply
    182,172x = 395,448 × 395,448
  4. Step 4: Simplify right side
    182,172x = 156,379,120,704
  5. Step 5: Solve for x
    x = 156,379,120,704/182,172
  6. Step 6: Final answer
    x = 858,414.69

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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.