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Finding the Third Proportional to 122,227.10 and 270,698.20

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Solution

The third proportional to 122,227.10 and 270,698.20 is: 599,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,227.10 : 270,698.20 = 270,698.20 : x
  2. Step 2: Convert to fraction form
    122,227.10/270,698.20 = 270,698.20/x
  3. Step 3: Cross multiply
    122,227.10x = 270,698.20 × 270,698.20
  4. Step 4: Simplify right side
    122,227.10x = 73,277,517,175.10
  5. Step 5: Solve for x
    x = 73,277,517,175.10/122,227.10
  6. Step 6: Final answer
    x = 599,519.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.