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Finding the Third Proportional to 159,012 and 222,876

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Solution

The third proportional to 159,012 and 222,876 is: 312,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,012 : 222,876 = 222,876 : x
  2. Step 2: Convert to fraction form
    159,012/222,876 = 222,876/x
  3. Step 3: Cross multiply
    159,012x = 222,876 × 222,876
  4. Step 4: Simplify right side
    159,012x = 49,673,711,376
  5. Step 5: Solve for x
    x = 49,673,711,376/159,012
  6. Step 6: Final answer
    x = 312,389.70

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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.