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Finding the Third Proportional to 144,223 and 192,843

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Solution

The third proportional to 144,223 and 192,843 is: 257,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,223 : 192,843 = 192,843 : x
  2. Step 2: Convert to fraction form
    144,223/192,843 = 192,843/x
  3. Step 3: Cross multiply
    144,223x = 192,843 × 192,843
  4. Step 4: Simplify right side
    144,223x = 37,188,422,649
  5. Step 5: Solve for x
    x = 37,188,422,649/144,223
  6. Step 6: Final answer
    x = 257,853.62

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.