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Finding the Third Proportional to 146,212.31 and 214,249.22

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Solution

The third proportional to 146,212.31 and 214,249.22 is: 313,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,212.31 : 214,249.22 = 214,249.22 : x
  2. Step 2: Convert to fraction form
    146,212.31/214,249.22 = 214,249.22/x
  3. Step 3: Cross multiply
    146,212.31x = 214,249.22 × 214,249.22
  4. Step 4: Simplify right side
    146,212.31x = 45,902,727,734.99
  5. Step 5: Solve for x
    x = 45,902,727,734.99/146,212.31
  6. Step 6: Final answer
    x = 313,945.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.