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Finding the Third Proportional to 150,198 and 233,914

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Solution

The third proportional to 150,198 and 233,914 is: 364,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,198 : 233,914 = 233,914 : x
  2. Step 2: Convert to fraction form
    150,198/233,914 = 233,914/x
  3. Step 3: Cross multiply
    150,198x = 233,914 × 233,914
  4. Step 4: Simplify right side
    150,198x = 54,715,759,396
  5. Step 5: Solve for x
    x = 54,715,759,396/150,198
  6. Step 6: Final answer
    x = 364,290.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.