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Finding the Third Proportional to 80,622 and 175,236.75

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Solution

The third proportional to 80,622 and 175,236.75 is: 380,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,622 : 175,236.75 = 175,236.75 : x
  2. Step 2: Convert to fraction form
    80,622/175,236.75 = 175,236.75/x
  3. Step 3: Cross multiply
    80,622x = 175,236.75 × 175,236.75
  4. Step 4: Simplify right side
    80,622x = 30,707,918,550.56
  5. Step 5: Solve for x
    x = 30,707,918,550.56/80,622
  6. Step 6: Final answer
    x = 380,887.58

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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.