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Finding the Third Proportional to 115,563.38 and 240,198.38

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Solution

The third proportional to 115,563.38 and 240,198.38 is: 499,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,563.38 : 240,198.38 = 240,198.38 : x
  2. Step 2: Convert to fraction form
    115,563.38/240,198.38 = 240,198.38/x
  3. Step 3: Cross multiply
    115,563.38x = 240,198.38 × 240,198.38
  4. Step 4: Simplify right side
    115,563.38x = 57,695,259,352.64
  5. Step 5: Solve for x
    x = 57,695,259,352.64/115,563.38
  6. Step 6: Final answer
    x = 499,252.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.