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Finding the Third Proportional to 206,227.13 and 439,669.13

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Solution

The third proportional to 206,227.13 and 439,669.13 is: 937,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,227.13 : 439,669.13 = 439,669.13 : x
  2. Step 2: Convert to fraction form
    206,227.13/439,669.13 = 439,669.13/x
  3. Step 3: Cross multiply
    206,227.13x = 439,669.13 × 439,669.13
  4. Step 4: Simplify right side
    206,227.13x = 193,308,939,478.27
  5. Step 5: Solve for x
    x = 193,308,939,478.27/206,227.13
  6. Step 6: Final answer
    x = 937,359.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.