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Finding the Third Proportional to 179,992 and 268,530

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Solution

The third proportional to 179,992 and 268,530 is: 400,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,992 : 268,530 = 268,530 : x
  2. Step 2: Convert to fraction form
    179,992/268,530 = 268,530/x
  3. Step 3: Cross multiply
    179,992x = 268,530 × 268,530
  4. Step 4: Simplify right side
    179,992x = 72,108,360,900
  5. Step 5: Solve for x
    x = 72,108,360,900/179,992
  6. Step 6: Final answer
    x = 400,619.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.