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Finding the Third Proportional to 146,212 and 218,742

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Solution

The third proportional to 146,212 and 218,742 is: 327,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,212 : 218,742 = 218,742 : x
  2. Step 2: Convert to fraction form
    146,212/218,742 = 218,742/x
  3. Step 3: Cross multiply
    146,212x = 218,742 × 218,742
  4. Step 4: Simplify right side
    146,212x = 47,848,062,564
  5. Step 5: Solve for x
    x = 47,848,062,564/146,212
  6. Step 6: Final answer
    x = 327,251.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.