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Finding the Third Proportional to 101,930 and 239,836

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Solution

The third proportional to 101,930 and 239,836 is: 564,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,930 : 239,836 = 239,836 : x
  2. Step 2: Convert to fraction form
    101,930/239,836 = 239,836/x
  3. Step 3: Cross multiply
    101,930x = 239,836 × 239,836
  4. Step 4: Simplify right side
    101,930x = 57,521,306,896
  5. Step 5: Solve for x
    x = 57,521,306,896/101,930
  6. Step 6: Final answer
    x = 564,321.66

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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.