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Finding the Third Proportional to 118,882.69 and 247,584.09

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Solution

The third proportional to 118,882.69 and 247,584.09 is: 515,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,882.69 : 247,584.09 = 247,584.09 : x
  2. Step 2: Convert to fraction form
    118,882.69/247,584.09 = 247,584.09/x
  3. Step 3: Cross multiply
    118,882.69x = 247,584.09 × 247,584.09
  4. Step 4: Simplify right side
    118,882.69x = 61,297,883,478.01
  5. Step 5: Solve for x
    x = 61,297,883,478.01/118,882.69
  6. Step 6: Final answer
    x = 515,616.57

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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.