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Finding the Third Proportional to 132,743.25 and 286,617.38

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Solution

The third proportional to 132,743.25 and 286,617.38 is: 618,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,743.25 : 286,617.38 = 286,617.38 : x
  2. Step 2: Convert to fraction form
    132,743.25/286,617.38 = 286,617.38/x
  3. Step 3: Cross multiply
    132,743.25x = 286,617.38 × 286,617.38
  4. Step 4: Simplify right side
    132,743.25x = 82,149,519,651.89
  5. Step 5: Solve for x
    x = 82,149,519,651.89/132,743.25
  6. Step 6: Final answer
    x = 618,860.24

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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.