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Finding the Third Proportional to 217,161 and 327,336.19

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Solution

The third proportional to 217,161 and 327,336.19 is: 493,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,161 : 327,336.19 = 327,336.19 : x
  2. Step 2: Convert to fraction form
    217,161/327,336.19 = 327,336.19/x
  3. Step 3: Cross multiply
    217,161x = 327,336.19 × 327,336.19
  4. Step 4: Simplify right side
    217,161x = 107,148,979,647.04
  5. Step 5: Solve for x
    x = 107,148,979,647.04/217,161
  6. Step 6: Final answer
    x = 493,408.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.