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Finding the Third Proportional to 110,397 and 239,997

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Solution

The third proportional to 110,397 and 239,997 is: 521,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,397 : 239,997 = 239,997 : x
  2. Step 2: Convert to fraction form
    110,397/239,997 = 239,997/x
  3. Step 3: Cross multiply
    110,397x = 239,997 × 239,997
  4. Step 4: Simplify right side
    110,397x = 57,598,560,009
  5. Step 5: Solve for x
    x = 57,598,560,009/110,397
  6. Step 6: Final answer
    x = 521,740.26

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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.