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Finding the Third Proportional to 80,435.25 and 173,202.75

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Solution

The third proportional to 80,435.25 and 173,202.75 is: 372,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,435.25 : 173,202.75 = 173,202.75 : x
  2. Step 2: Convert to fraction form
    80,435.25/173,202.75 = 173,202.75/x
  3. Step 3: Cross multiply
    80,435.25x = 173,202.75 × 173,202.75
  4. Step 4: Simplify right side
    80,435.25x = 29,999,192,607.56
  5. Step 5: Solve for x
    x = 29,999,192,607.56/80,435.25
  6. Step 6: Final answer
    x = 372,960.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.