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Finding the Third Proportional to 206,397.56 and 443,313.56

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Solution

The third proportional to 206,397.56 and 443,313.56 is: 952,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397.56 : 443,313.56 = 443,313.56 : x
  2. Step 2: Convert to fraction form
    206,397.56/443,313.56 = 443,313.56/x
  3. Step 3: Cross multiply
    206,397.56x = 443,313.56 × 443,313.56
  4. Step 4: Simplify right side
    206,397.56x = 196,526,914,696.44
  5. Step 5: Solve for x
    x = 196,526,914,696.44/206,397.56
  6. Step 6: Final answer
    x = 952,176.53

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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.