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Finding the Third Proportional to 183,992 and 269,928

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Solution

The third proportional to 183,992 and 269,928 is: 396,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,992 : 269,928 = 269,928 : x
  2. Step 2: Convert to fraction form
    183,992/269,928 = 269,928/x
  3. Step 3: Cross multiply
    183,992x = 269,928 × 269,928
  4. Step 4: Simplify right side
    183,992x = 72,861,125,184
  5. Step 5: Solve for x
    x = 72,861,125,184/183,992
  6. Step 6: Final answer
    x = 396,001.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.