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Finding the Third Proportional to 179,667 and 269,505

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Solution

The third proportional to 179,667 and 269,505 is: 404,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,667 : 269,505 = 269,505 : x
  2. Step 2: Convert to fraction form
    179,667/269,505 = 269,505/x
  3. Step 3: Cross multiply
    179,667x = 269,505 × 269,505
  4. Step 4: Simplify right side
    179,667x = 72,632,945,025
  5. Step 5: Solve for x
    x = 72,632,945,025/179,667
  6. Step 6: Final answer
    x = 404,264.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.