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Finding the Third Proportional to 206,062.88 and 439,342.88

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Solution

The third proportional to 206,062.88 and 439,342.88 is: 936,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,062.88 : 439,342.88 = 439,342.88 : x
  2. Step 2: Convert to fraction form
    206,062.88/439,342.88 = 439,342.88/x
  3. Step 3: Cross multiply
    206,062.88x = 439,342.88 × 439,342.88
  4. Step 4: Simplify right side
    206,062.88x = 193,022,161,813.27
  5. Step 5: Solve for x
    x = 193,022,161,813.27/206,062.88
  6. Step 6: Final answer
    x = 936,714.88

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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.