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Finding the Third Proportional to 224,408.25 and 327,933

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Solution

The third proportional to 224,408.25 and 327,933 is: 479,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,408.25 : 327,933 = 327,933 : x
  2. Step 2: Convert to fraction form
    224,408.25/327,933 = 327,933/x
  3. Step 3: Cross multiply
    224,408.25x = 327,933 × 327,933
  4. Step 4: Simplify right side
    224,408.25x = 107,540,052,489
  5. Step 5: Solve for x
    x = 107,540,052,489/224,408.25
  6. Step 6: Final answer
    x = 479,216.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.