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Finding the Third Proportional to 179,874 and 269,827

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Solution

The third proportional to 179,874 and 269,827 is: 404,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,874 : 269,827 = 269,827 : x
  2. Step 2: Convert to fraction form
    179,874/269,827 = 269,827/x
  3. Step 3: Cross multiply
    179,874x = 269,827 × 269,827
  4. Step 4: Simplify right side
    179,874x = 72,806,609,929
  5. Step 5: Solve for x
    x = 72,806,609,929/179,874
  6. Step 6: Final answer
    x = 404,764.50

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Why These Related Problems?

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