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Finding the Third Proportional to 206,234 and 436,876

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Solution

The third proportional to 206,234 and 436,876 is: 925,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,234 : 436,876 = 436,876 : x
  2. Step 2: Convert to fraction form
    206,234/436,876 = 436,876/x
  3. Step 3: Cross multiply
    206,234x = 436,876 × 436,876
  4. Step 4: Simplify right side
    206,234x = 190,860,639,376
  5. Step 5: Solve for x
    x = 190,860,639,376/206,234
  6. Step 6: Final answer
    x = 925,456.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.