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Finding the Third Proportional to 118,234.69 and 241,993.83

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Solution

The third proportional to 118,234.69 and 241,993.83 is: 495,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,234.69 : 241,993.83 = 241,993.83 : x
  2. Step 2: Convert to fraction form
    118,234.69/241,993.83 = 241,993.83/x
  3. Step 3: Cross multiply
    118,234.69x = 241,993.83 × 241,993.83
  4. Step 4: Simplify right side
    118,234.69x = 58,561,012,850.59
  5. Step 5: Solve for x
    x = 58,561,012,850.59/118,234.69
  6. Step 6: Final answer
    x = 495,294.69

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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.