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Finding the Third Proportional to 159,093 and 222,997.50

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Solution

The third proportional to 159,093 and 222,997.50 is: 312,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,093 : 222,997.50 = 222,997.50 : x
  2. Step 2: Convert to fraction form
    159,093/222,997.50 = 222,997.50/x
  3. Step 3: Cross multiply
    159,093x = 222,997.50 × 222,997.50
  4. Step 4: Simplify right side
    159,093x = 49,727,885,006.25
  5. Step 5: Solve for x
    x = 49,727,885,006.25/159,093
  6. Step 6: Final answer
    x = 312,571.17

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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.