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Finding the Third Proportional to 209,593.13 and 296,286.19

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Solution

The third proportional to 209,593.13 and 296,286.19 is: 418,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,593.13 : 296,286.19 = 296,286.19 : x
  2. Step 2: Convert to fraction form
    209,593.13/296,286.19 = 296,286.19/x
  3. Step 3: Cross multiply
    209,593.13x = 296,286.19 × 296,286.19
  4. Step 4: Simplify right side
    209,593.13x = 87,785,504,903.29
  5. Step 5: Solve for x
    x = 87,785,504,903.29/209,593.13
  6. Step 6: Final answer
    x = 418,837.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.