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Finding the Third Proportional to 119,832 and 183,384

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Solution

The third proportional to 119,832 and 183,384 is: 280,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,832 : 183,384 = 183,384 : x
  2. Step 2: Convert to fraction form
    119,832/183,384 = 183,384/x
  3. Step 3: Cross multiply
    119,832x = 183,384 × 183,384
  4. Step 4: Simplify right side
    119,832x = 33,629,691,456
  5. Step 5: Solve for x
    x = 33,629,691,456/119,832
  6. Step 6: Final answer
    x = 280,640.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.