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Finding the Third Proportional to 179,706 and 281,883

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Solution

The third proportional to 179,706 and 281,883 is: 442,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,706 : 281,883 = 281,883 : x
  2. Step 2: Convert to fraction form
    179,706/281,883 = 281,883/x
  3. Step 3: Cross multiply
    179,706x = 281,883 × 281,883
  4. Step 4: Simplify right side
    179,706x = 79,458,025,689
  5. Step 5: Solve for x
    x = 79,458,025,689/179,706
  6. Step 6: Final answer
    x = 442,155.66

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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.