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Finding the Third Proportional to 206,062.75 and 439,343.75

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Solution

The third proportional to 206,062.75 and 439,343.75 is: 936,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,062.75 : 439,343.75 = 439,343.75 : x
  2. Step 2: Convert to fraction form
    206,062.75/439,343.75 = 439,343.75/x
  3. Step 3: Cross multiply
    206,062.75x = 439,343.75 × 439,343.75
  4. Step 4: Simplify right side
    206,062.75x = 193,022,930,664.06
  5. Step 5: Solve for x
    x = 193,022,930,664.06/206,062.75
  6. Step 6: Final answer
    x = 936,719.18

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