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Finding the Third Proportional to 206,166 and 451,698

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Solution

The third proportional to 206,166 and 451,698 is: 989,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166 : 451,698 = 451,698 : x
  2. Step 2: Convert to fraction form
    206,166/451,698 = 451,698/x
  3. Step 3: Cross multiply
    206,166x = 451,698 × 451,698
  4. Step 4: Simplify right side
    206,166x = 204,031,083,204
  5. Step 5: Solve for x
    x = 204,031,083,204/206,166
  6. Step 6: Final answer
    x = 989,644.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.