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Finding the Third Proportional to 182,016 and 275,568

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Solution

The third proportional to 182,016 and 275,568 is: 417,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,016 : 275,568 = 275,568 : x
  2. Step 2: Convert to fraction form
    182,016/275,568 = 275,568/x
  3. Step 3: Cross multiply
    182,016x = 275,568 × 275,568
  4. Step 4: Simplify right side
    182,016x = 75,937,722,624
  5. Step 5: Solve for x
    x = 75,937,722,624/182,016
  6. Step 6: Final answer
    x = 417,203.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.