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Finding the Third Proportional to 110,247.75 and 239,166

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Solution

The third proportional to 110,247.75 and 239,166 is: 518,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,247.75 : 239,166 = 239,166 : x
  2. Step 2: Convert to fraction form
    110,247.75/239,166 = 239,166/x
  3. Step 3: Cross multiply
    110,247.75x = 239,166 × 239,166
  4. Step 4: Simplify right side
    110,247.75x = 57,200,375,556
  5. Step 5: Solve for x
    x = 57,200,375,556/110,247.75
  6. Step 6: Final answer
    x = 518,834.86

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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.