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Finding the Third Proportional to 206,794 and 311,919

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Solution

The third proportional to 206,794 and 311,919 is: 470,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,794 : 311,919 = 311,919 : x
  2. Step 2: Convert to fraction form
    206,794/311,919 = 311,919/x
  3. Step 3: Cross multiply
    206,794x = 311,919 × 311,919
  4. Step 4: Simplify right side
    206,794x = 97,293,462,561
  5. Step 5: Solve for x
    x = 97,293,462,561/206,794
  6. Step 6: Final answer
    x = 470,484.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.