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Finding the Third Proportional to 101,928 and 239,828

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Solution

The third proportional to 101,928 and 239,828 is: 564,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,928 : 239,828 = 239,828 : x
  2. Step 2: Convert to fraction form
    101,928/239,828 = 239,828/x
  3. Step 3: Cross multiply
    101,928x = 239,828 × 239,828
  4. Step 4: Simplify right side
    101,928x = 57,517,469,584
  5. Step 5: Solve for x
    x = 57,517,469,584/101,928
  6. Step 6: Final answer
    x = 564,295.09

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.