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Finding the Third Proportional to 217,324 and 323,682

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Solution

The third proportional to 217,324 and 323,682 is: 482,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,324 : 323,682 = 323,682 : x
  2. Step 2: Convert to fraction form
    217,324/323,682 = 323,682/x
  3. Step 3: Cross multiply
    217,324x = 323,682 × 323,682
  4. Step 4: Simplify right side
    217,324x = 104,770,037,124
  5. Step 5: Solve for x
    x = 104,770,037,124/217,324
  6. Step 6: Final answer
    x = 482,091.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.