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Finding the Third Proportional to 132,611 and 286,396

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Solution

The third proportional to 132,611 and 286,396 is: 618,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,611 : 286,396 = 286,396 : x
  2. Step 2: Convert to fraction form
    132,611/286,396 = 286,396/x
  3. Step 3: Cross multiply
    132,611x = 286,396 × 286,396
  4. Step 4: Simplify right side
    132,611x = 82,022,668,816
  5. Step 5: Solve for x
    x = 82,022,668,816/132,611
  6. Step 6: Final answer
    x = 618,520.85

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