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Finding the Third Proportional to 179,692 and 281,042

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Solution

The third proportional to 179,692 and 281,042 is: 439,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,692 : 281,042 = 281,042 : x
  2. Step 2: Convert to fraction form
    179,692/281,042 = 281,042/x
  3. Step 3: Cross multiply
    179,692x = 281,042 × 281,042
  4. Step 4: Simplify right side
    179,692x = 78,984,605,764
  5. Step 5: Solve for x
    x = 78,984,605,764/179,692
  6. Step 6: Final answer
    x = 439,555.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.