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Finding the Third Proportional to 141,464 and 192,238

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Solution

The third proportional to 141,464 and 192,238 is: 261,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,464 : 192,238 = 192,238 : x
  2. Step 2: Convert to fraction form
    141,464/192,238 = 192,238/x
  3. Step 3: Cross multiply
    141,464x = 192,238 × 192,238
  4. Step 4: Simplify right side
    141,464x = 36,955,448,644
  5. Step 5: Solve for x
    x = 36,955,448,644/141,464
  6. Step 6: Final answer
    x = 261,235.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.