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Finding the Third Proportional to 179,760.50 and 281,983

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Solution

The third proportional to 179,760.50 and 281,983 is: 442,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,760.50 : 281,983 = 281,983 : x
  2. Step 2: Convert to fraction form
    179,760.50/281,983 = 281,983/x
  3. Step 3: Cross multiply
    179,760.50x = 281,983 × 281,983
  4. Step 4: Simplify right side
    179,760.50x = 79,514,412,289
  5. Step 5: Solve for x
    x = 79,514,412,289/179,760.50
  6. Step 6: Final answer
    x = 442,335.29

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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.