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Finding the Third Proportional to 110,277 and 239,224.50

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Solution

The third proportional to 110,277 and 239,224.50 is: 518,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,277 : 239,224.50 = 239,224.50 : x
  2. Step 2: Convert to fraction form
    110,277/239,224.50 = 239,224.50/x
  3. Step 3: Cross multiply
    110,277x = 239,224.50 × 239,224.50
  4. Step 4: Simplify right side
    110,277x = 57,228,361,400.25
  5. Step 5: Solve for x
    x = 57,228,361,400.25/110,277
  6. Step 6: Final answer
    x = 518,951.02

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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.