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Finding the Third Proportional to 135,828 and 199,578.75

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Solution

The third proportional to 135,828 and 199,578.75 is: 293,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,828 : 199,578.75 = 199,578.75 : x
  2. Step 2: Convert to fraction form
    135,828/199,578.75 = 199,578.75/x
  3. Step 3: Cross multiply
    135,828x = 199,578.75 × 199,578.75
  4. Step 4: Simplify right side
    135,828x = 39,831,677,451.56
  5. Step 5: Solve for x
    x = 39,831,677,451.56/135,828
  6. Step 6: Final answer
    x = 293,250.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.