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Finding the Third Proportional to 115,979.34 and 270,982.97

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Solution

The third proportional to 115,979.34 and 270,982.97 is: 633,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,979.34 : 270,982.97 = 270,982.97 : x
  2. Step 2: Convert to fraction form
    115,979.34/270,982.97 = 270,982.97/x
  3. Step 3: Cross multiply
    115,979.34x = 270,982.97 × 270,982.97
  4. Step 4: Simplify right side
    115,979.34x = 73,431,769,352.56
  5. Step 5: Solve for x
    x = 73,431,769,352.56/115,979.34
  6. Step 6: Final answer
    x = 633,145.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.