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Finding the Third Proportional to 206,418.94 and 443,355.19

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Solution

The third proportional to 206,418.94 and 443,355.19 is: 952,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,418.94 : 443,355.19 = 443,355.19 : x
  2. Step 2: Convert to fraction form
    206,418.94/443,355.19 = 443,355.19/x
  3. Step 3: Cross multiply
    206,418.94x = 443,355.19 × 443,355.19
  4. Step 4: Simplify right side
    206,418.94x = 196,563,822,283.16
  5. Step 5: Solve for x
    x = 196,563,822,283.16/206,418.94
  6. Step 6: Final answer
    x = 952,256.73

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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.