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Finding the Third Proportional to 188,194 and 391,876

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Solution

The third proportional to 188,194 and 391,876 is: 816,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,194 : 391,876 = 391,876 : x
  2. Step 2: Convert to fraction form
    188,194/391,876 = 391,876/x
  3. Step 3: Cross multiply
    188,194x = 391,876 × 391,876
  4. Step 4: Simplify right side
    188,194x = 153,566,799,376
  5. Step 5: Solve for x
    x = 153,566,799,376/188,194
  6. Step 6: Final answer
    x = 816,002.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.