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Finding the Third Proportional to 134,183.25 and 283,884.75

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Solution

The third proportional to 134,183.25 and 283,884.75 is: 600,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,183.25 : 283,884.75 = 283,884.75 : x
  2. Step 2: Convert to fraction form
    134,183.25/283,884.75 = 283,884.75/x
  3. Step 3: Cross multiply
    134,183.25x = 283,884.75 × 283,884.75
  4. Step 4: Simplify right side
    134,183.25x = 80,590,551,282.56
  5. Step 5: Solve for x
    x = 80,590,551,282.56/134,183.25
  6. Step 6: Final answer
    x = 600,600.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.