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Finding the Third Proportional to 195,198 and 426,092

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Solution

The third proportional to 195,198 and 426,092 is: 930,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,198 : 426,092 = 426,092 : x
  2. Step 2: Convert to fraction form
    195,198/426,092 = 426,092/x
  3. Step 3: Cross multiply
    195,198x = 426,092 × 426,092
  4. Step 4: Simplify right side
    195,198x = 181,554,392,464
  5. Step 5: Solve for x
    x = 181,554,392,464/195,198
  6. Step 6: Final answer
    x = 930,103.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.