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Finding the Third Proportional to 109,844 and 239,824

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Solution

The third proportional to 109,844 and 239,824 is: 523,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,844 : 239,824 = 239,824 : x
  2. Step 2: Convert to fraction form
    109,844/239,824 = 239,824/x
  3. Step 3: Cross multiply
    109,844x = 239,824 × 239,824
  4. Step 4: Simplify right side
    109,844x = 57,515,550,976
  5. Step 5: Solve for x
    x = 57,515,550,976/109,844
  6. Step 6: Final answer
    x = 523,611.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.