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Finding the Third Proportional to 206,756 and 445,190

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Solution

The third proportional to 206,756 and 445,190 is: 958,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,756 : 445,190 = 445,190 : x
  2. Step 2: Convert to fraction form
    206,756/445,190 = 445,190/x
  3. Step 3: Cross multiply
    206,756x = 445,190 × 445,190
  4. Step 4: Simplify right side
    206,756x = 198,194,136,100
  5. Step 5: Solve for x
    x = 198,194,136,100/206,756
  6. Step 6: Final answer
    x = 958,589.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.