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Finding the Third Proportional to 135,756 and 283,876

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Solution

The third proportional to 135,756 and 283,876 is: 593,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,756 : 283,876 = 283,876 : x
  2. Step 2: Convert to fraction form
    135,756/283,876 = 283,876/x
  3. Step 3: Cross multiply
    135,756x = 283,876 × 283,876
  4. Step 4: Simplify right side
    135,756x = 80,585,583,376
  5. Step 5: Solve for x
    x = 80,585,583,376/135,756
  6. Step 6: Final answer
    x = 593,606.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.