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Finding the Third Proportional to 217,596 and 332,868

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Solution

The third proportional to 217,596 and 332,868 is: 509,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,596 : 332,868 = 332,868 : x
  2. Step 2: Convert to fraction form
    217,596/332,868 = 332,868/x
  3. Step 3: Cross multiply
    217,596x = 332,868 × 332,868
  4. Step 4: Simplify right side
    217,596x = 110,801,105,424
  5. Step 5: Solve for x
    x = 110,801,105,424/217,596
  6. Step 6: Final answer
    x = 509,205.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.