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Finding the Third Proportional to 179,760 and 281,966

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Solution

The third proportional to 179,760 and 281,966 is: 442,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,760 : 281,966 = 281,966 : x
  2. Step 2: Convert to fraction form
    179,760/281,966 = 281,966/x
  3. Step 3: Cross multiply
    179,760x = 281,966 × 281,966
  4. Step 4: Simplify right side
    179,760x = 79,504,825,156
  5. Step 5: Solve for x
    x = 79,504,825,156/179,760
  6. Step 6: Final answer
    x = 442,283.18

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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.