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Finding the Third Proportional to 217,624 and 332,916

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Solution

The third proportional to 217,624 and 332,916 is: 509,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,624 : 332,916 = 332,916 : x
  2. Step 2: Convert to fraction form
    217,624/332,916 = 332,916/x
  3. Step 3: Cross multiply
    217,624x = 332,916 × 332,916
  4. Step 4: Simplify right side
    217,624x = 110,833,063,056
  5. Step 5: Solve for x
    x = 110,833,063,056/217,624
  6. Step 6: Final answer
    x = 509,286.95

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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.