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Finding the Third Proportional to 179,601 and 239,655

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Solution

The third proportional to 179,601 and 239,655 is: 319,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,601 : 239,655 = 239,655 : x
  2. Step 2: Convert to fraction form
    179,601/239,655 = 239,655/x
  3. Step 3: Cross multiply
    179,601x = 239,655 × 239,655
  4. Step 4: Simplify right side
    179,601x = 57,434,519,025
  5. Step 5: Solve for x
    x = 57,434,519,025/179,601
  6. Step 6: Final answer
    x = 319,789.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.