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Finding the Third Proportional to 206,416.69 and 443,350.69

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Solution

The third proportional to 206,416.69 and 443,350.69 is: 952,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.69 : 443,350.69 = 443,350.69 : x
  2. Step 2: Convert to fraction form
    206,416.69/443,350.69 = 443,350.69/x
  3. Step 3: Cross multiply
    206,416.69x = 443,350.69 × 443,350.69
  4. Step 4: Simplify right side
    206,416.69x = 196,559,832,106.72
  5. Step 5: Solve for x
    x = 196,559,832,106.72/206,416.69
  6. Step 6: Final answer
    x = 952,247.78

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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.