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Finding the Third Proportional to 218,249.44 and 338,721.75

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Solution

The third proportional to 218,249.44 and 338,721.75 is: 525,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,249.44 : 338,721.75 = 338,721.75 : x
  2. Step 2: Convert to fraction form
    218,249.44/338,721.75 = 338,721.75/x
  3. Step 3: Cross multiply
    218,249.44x = 338,721.75 × 338,721.75
  4. Step 4: Simplify right side
    218,249.44x = 114,732,423,923.06
  5. Step 5: Solve for x
    x = 114,732,423,923.06/218,249.44
  6. Step 6: Final answer
    x = 525,694.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.