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Finding the Third Proportional to 159,144 and 223,092

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Solution

The third proportional to 159,144 and 223,092 is: 312,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,144 : 223,092 = 223,092 : x
  2. Step 2: Convert to fraction form
    159,144/223,092 = 223,092/x
  3. Step 3: Cross multiply
    159,144x = 223,092 × 223,092
  4. Step 4: Simplify right side
    159,144x = 49,770,040,464
  5. Step 5: Solve for x
    x = 49,770,040,464/159,144
  6. Step 6: Final answer
    x = 312,735.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.