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Finding the Third Proportional to 159,674.25 and 222,012

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Solution

The third proportional to 159,674.25 and 222,012 is: 308,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,674.25 : 222,012 = 222,012 : x
  2. Step 2: Convert to fraction form
    159,674.25/222,012 = 222,012/x
  3. Step 3: Cross multiply
    159,674.25x = 222,012 × 222,012
  4. Step 4: Simplify right side
    159,674.25x = 49,289,328,144
  5. Step 5: Solve for x
    x = 49,289,328,144/159,674.25
  6. Step 6: Final answer
    x = 308,686.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.