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Finding the Third Proportional to 110,251.13 and 241,516.69

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Solution

The third proportional to 110,251.13 and 241,516.69 is: 529,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,251.13 : 241,516.69 = 241,516.69 : x
  2. Step 2: Convert to fraction form
    110,251.13/241,516.69 = 241,516.69/x
  3. Step 3: Cross multiply
    110,251.13x = 241,516.69 × 241,516.69
  4. Step 4: Simplify right side
    110,251.13x = 58,330,310,340.97
  5. Step 5: Solve for x
    x = 58,330,310,340.97/110,251.13
  6. Step 6: Final answer
    x = 529,067.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.