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Finding the Third Proportional to 179,927 and 268,899

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Solution

The third proportional to 179,927 and 268,899 is: 401,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,927 : 268,899 = 268,899 : x
  2. Step 2: Convert to fraction form
    179,927/268,899 = 268,899/x
  3. Step 3: Cross multiply
    179,927x = 268,899 × 268,899
  4. Step 4: Simplify right side
    179,927x = 72,306,672,201
  5. Step 5: Solve for x
    x = 72,306,672,201/179,927
  6. Step 6: Final answer
    x = 401,866.71

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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.