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Finding the Third Proportional to 179,880 and 263,992

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Solution

The third proportional to 179,880 and 263,992 is: 387,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,880 : 263,992 = 263,992 : x
  2. Step 2: Convert to fraction form
    179,880/263,992 = 263,992/x
  3. Step 3: Cross multiply
    179,880x = 263,992 × 263,992
  4. Step 4: Simplify right side
    179,880x = 69,691,776,064
  5. Step 5: Solve for x
    x = 69,691,776,064/179,880
  6. Step 6: Final answer
    x = 387,434.82

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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.