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Finding the Third Proportional to 80,490.75 and 174,821.25

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Solution

The third proportional to 80,490.75 and 174,821.25 is: 379,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,490.75 : 174,821.25 = 174,821.25 : x
  2. Step 2: Convert to fraction form
    80,490.75/174,821.25 = 174,821.25/x
  3. Step 3: Cross multiply
    80,490.75x = 174,821.25 × 174,821.25
  4. Step 4: Simplify right side
    80,490.75x = 30,562,469,451.56
  5. Step 5: Solve for x
    x = 30,562,469,451.56/80,490.75
  6. Step 6: Final answer
    x = 379,701.64

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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.