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Finding the Third Proportional to 110,284 and 239,234

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Solution

The third proportional to 110,284 and 239,234 is: 518,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,284 : 239,234 = 239,234 : x
  2. Step 2: Convert to fraction form
    110,284/239,234 = 239,234/x
  3. Step 3: Cross multiply
    110,284x = 239,234 × 239,234
  4. Step 4: Simplify right side
    110,284x = 57,232,906,756
  5. Step 5: Solve for x
    x = 57,232,906,756/110,284
  6. Step 6: Final answer
    x = 518,959.29

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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.