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Finding the Third Proportional to 113,997 and 247,674

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Solution

The third proportional to 113,997 and 247,674 is: 538,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,997 : 247,674 = 247,674 : x
  2. Step 2: Convert to fraction form
    113,997/247,674 = 247,674/x
  3. Step 3: Cross multiply
    113,997x = 247,674 × 247,674
  4. Step 4: Simplify right side
    113,997x = 61,342,410,276
  5. Step 5: Solve for x
    x = 61,342,410,276/113,997
  6. Step 6: Final answer
    x = 538,105.48

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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.