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Finding the Third Proportional to 222,046 and 327,189

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Solution

The third proportional to 222,046 and 327,189 is: 482,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,046 : 327,189 = 327,189 : x
  2. Step 2: Convert to fraction form
    222,046/327,189 = 327,189/x
  3. Step 3: Cross multiply
    222,046x = 327,189 × 327,189
  4. Step 4: Simplify right side
    222,046x = 107,052,641,721
  5. Step 5: Solve for x
    x = 107,052,641,721/222,046
  6. Step 6: Final answer
    x = 482,119.21

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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.