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Finding the Third Proportional to 80,568.56 and 177,224.63

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Solution

The third proportional to 80,568.56 and 177,224.63 is: 389,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,568.56 : 177,224.63 = 177,224.63 : x
  2. Step 2: Convert to fraction form
    80,568.56/177,224.63 = 177,224.63/x
  3. Step 3: Cross multiply
    80,568.56x = 177,224.63 × 177,224.63
  4. Step 4: Simplify right side
    80,568.56x = 31,408,567,706.39
  5. Step 5: Solve for x
    x = 31,408,567,706.39/80,568.56
  6. Step 6: Final answer
    x = 389,836.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.