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Finding the Third Proportional to 108,904 and 239,880

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Solution

The third proportional to 108,904 and 239,880 is: 528,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,904 : 239,880 = 239,880 : x
  2. Step 2: Convert to fraction form
    108,904/239,880 = 239,880/x
  3. Step 3: Cross multiply
    108,904x = 239,880 × 239,880
  4. Step 4: Simplify right side
    108,904x = 57,542,414,400
  5. Step 5: Solve for x
    x = 57,542,414,400/108,904
  6. Step 6: Final answer
    x = 528,377.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.