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Finding the Third Proportional to 110,831 and 229,546

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Solution

The third proportional to 110,831 and 229,546 is: 475,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,831 : 229,546 = 229,546 : x
  2. Step 2: Convert to fraction form
    110,831/229,546 = 229,546/x
  3. Step 3: Cross multiply
    110,831x = 229,546 × 229,546
  4. Step 4: Simplify right side
    110,831x = 52,691,366,116
  5. Step 5: Solve for x
    x = 52,691,366,116/110,831
  6. Step 6: Final answer
    x = 475,420.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.