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Finding the Third Proportional to 217,162 and 332,201

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Solution

The third proportional to 217,162 and 332,201 is: 508,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,162 : 332,201 = 332,201 : x
  2. Step 2: Convert to fraction form
    217,162/332,201 = 332,201/x
  3. Step 3: Cross multiply
    217,162x = 332,201 × 332,201
  4. Step 4: Simplify right side
    217,162x = 110,357,504,401
  5. Step 5: Solve for x
    x = 110,357,504,401/217,162
  6. Step 6: Final answer
    x = 508,180.55

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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.