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Finding the Third Proportional to 206,718 and 301,876

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Solution

The third proportional to 206,718 and 301,876 is: 440,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,718 : 301,876 = 301,876 : x
  2. Step 2: Convert to fraction form
    206,718/301,876 = 301,876/x
  3. Step 3: Cross multiply
    206,718x = 301,876 × 301,876
  4. Step 4: Simplify right side
    206,718x = 91,129,119,376
  5. Step 5: Solve for x
    x = 91,129,119,376/206,718
  6. Step 6: Final answer
    x = 440,837.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.