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Finding the Third Proportional to 159,673 and 222,010.50

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Solution

The third proportional to 159,673 and 222,010.50 is: 308,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,673 : 222,010.50 = 222,010.50 : x
  2. Step 2: Convert to fraction form
    159,673/222,010.50 = 222,010.50/x
  3. Step 3: Cross multiply
    159,673x = 222,010.50 × 222,010.50
  4. Step 4: Simplify right side
    159,673x = 49,288,662,110.25
  5. Step 5: Solve for x
    x = 49,288,662,110.25/159,673
  6. Step 6: Final answer
    x = 308,685.01

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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.