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Finding the Third Proportional to 133,822 and 192,349

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Solution

The third proportional to 133,822 and 192,349 is: 276,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,822 : 192,349 = 192,349 : x
  2. Step 2: Convert to fraction form
    133,822/192,349 = 192,349/x
  3. Step 3: Cross multiply
    133,822x = 192,349 × 192,349
  4. Step 4: Simplify right side
    133,822x = 36,998,137,801
  5. Step 5: Solve for x
    x = 36,998,137,801/133,822
  6. Step 6: Final answer
    x = 276,472.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.