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Finding the Third Proportional to 179,700 and 281,874

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Solution

The third proportional to 179,700 and 281,874 is: 442,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,700 : 281,874 = 281,874 : x
  2. Step 2: Convert to fraction form
    179,700/281,874 = 281,874/x
  3. Step 3: Cross multiply
    179,700x = 281,874 × 281,874
  4. Step 4: Simplify right side
    179,700x = 79,452,951,876
  5. Step 5: Solve for x
    x = 79,452,951,876/179,700
  6. Step 6: Final answer
    x = 442,142.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.