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Finding the Third Proportional to 132,082 and 287,734

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Solution

The third proportional to 132,082 and 287,734 is: 626,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,082 : 287,734 = 287,734 : x
  2. Step 2: Convert to fraction form
    132,082/287,734 = 287,734/x
  3. Step 3: Cross multiply
    132,082x = 287,734 × 287,734
  4. Step 4: Simplify right side
    132,082x = 82,790,854,756
  5. Step 5: Solve for x
    x = 82,790,854,756/132,082
  6. Step 6: Final answer
    x = 626,814.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.