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Finding the Third Proportional to 132,166 and 285,837

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Solution

The third proportional to 132,166 and 285,837 is: 618,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,166 : 285,837 = 285,837 : x
  2. Step 2: Convert to fraction form
    132,166/285,837 = 285,837/x
  3. Step 3: Cross multiply
    132,166x = 285,837 × 285,837
  4. Step 4: Simplify right side
    132,166x = 81,702,790,569
  5. Step 5: Solve for x
    x = 81,702,790,569/132,166
  6. Step 6: Final answer
    x = 618,183.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.