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Finding the Third Proportional to 181,850 and 395,175

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Solution

The third proportional to 181,850 and 395,175 is: 858,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,850 : 395,175 = 395,175 : x
  2. Step 2: Convert to fraction form
    181,850/395,175 = 395,175/x
  3. Step 3: Cross multiply
    181,850x = 395,175 × 395,175
  4. Step 4: Simplify right side
    181,850x = 156,163,280,625
  5. Step 5: Solve for x
    x = 156,163,280,625/181,850
  6. Step 6: Final answer
    x = 858,747.76

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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.