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Finding the Third Proportional to 110,596 and 239,856

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Solution

The third proportional to 110,596 and 239,856 is: 520,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,596 : 239,856 = 239,856 : x
  2. Step 2: Convert to fraction form
    110,596/239,856 = 239,856/x
  3. Step 3: Cross multiply
    110,596x = 239,856 × 239,856
  4. Step 4: Simplify right side
    110,596x = 57,530,900,736
  5. Step 5: Solve for x
    x = 57,530,900,736/110,596
  6. Step 6: Final answer
    x = 520,189.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.