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Finding the Third Proportional to 80,489 and 174,816

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Solution

The third proportional to 80,489 and 174,816 is: 379,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,489 : 174,816 = 174,816 : x
  2. Step 2: Convert to fraction form
    80,489/174,816 = 174,816/x
  3. Step 3: Cross multiply
    80,489x = 174,816 × 174,816
  4. Step 4: Simplify right side
    80,489x = 30,560,633,856
  5. Step 5: Solve for x
    x = 30,560,633,856/80,489
  6. Step 6: Final answer
    x = 379,687.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.