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Finding the Third Proportional to 135,648 and 283,689

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Solution

The third proportional to 135,648 and 283,689 is: 593,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 283,689 = 283,689 : x
  2. Step 2: Convert to fraction form
    135,648/283,689 = 283,689/x
  3. Step 3: Cross multiply
    135,648x = 283,689 × 283,689
  4. Step 4: Simplify right side
    135,648x = 80,479,448,721
  5. Step 5: Solve for x
    x = 80,479,448,721/135,648
  6. Step 6: Final answer
    x = 593,296.24

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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.