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Finding the Third Proportional to 177,033.38 and 280,754.44

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Solution

The third proportional to 177,033.38 and 280,754.44 is: 445,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,033.38 : 280,754.44 = 280,754.44 : x
  2. Step 2: Convert to fraction form
    177,033.38/280,754.44 = 280,754.44/x
  3. Step 3: Cross multiply
    177,033.38x = 280,754.44 × 280,754.44
  4. Step 4: Simplify right side
    177,033.38x = 78,823,054,175.94
  5. Step 5: Solve for x
    x = 78,823,054,175.94/177,033.38
  6. Step 6: Final answer
    x = 445,244.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.