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Finding the Third Proportional to 116,993.25 and 239,519.25

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Solution

The third proportional to 116,993.25 and 239,519.25 is: 490,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,993.25 : 239,519.25 = 239,519.25 : x
  2. Step 2: Convert to fraction form
    116,993.25/239,519.25 = 239,519.25/x
  3. Step 3: Cross multiply
    116,993.25x = 239,519.25 × 239,519.25
  4. Step 4: Simplify right side
    116,993.25x = 57,369,471,120.56
  5. Step 5: Solve for x
    x = 57,369,471,120.56/116,993.25
  6. Step 6: Final answer
    x = 490,365.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.