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Finding the Third Proportional to 167,524 and 395,158

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Solution

The third proportional to 167,524 and 395,158 is: 932,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,524 : 395,158 = 395,158 : x
  2. Step 2: Convert to fraction form
    167,524/395,158 = 395,158/x
  3. Step 3: Cross multiply
    167,524x = 395,158 × 395,158
  4. Step 4: Simplify right side
    167,524x = 156,149,844,964
  5. Step 5: Solve for x
    x = 156,149,844,964/167,524
  6. Step 6: Final answer
    x = 932,104.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.