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Finding the Third Proportional to 167,208 and 363,939

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Solution

The third proportional to 167,208 and 363,939 is: 792,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,208 : 363,939 = 363,939 : x
  2. Step 2: Convert to fraction form
    167,208/363,939 = 363,939/x
  3. Step 3: Cross multiply
    167,208x = 363,939 × 363,939
  4. Step 4: Simplify right side
    167,208x = 132,451,595,721
  5. Step 5: Solve for x
    x = 132,451,595,721/167,208
  6. Step 6: Final answer
    x = 792,136.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.