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Finding the Third Proportional to 217,612 and 332,858

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Solution

The third proportional to 217,612 and 332,858 is: 509,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,612 : 332,858 = 332,858 : x
  2. Step 2: Convert to fraction form
    217,612/332,858 = 332,858/x
  3. Step 3: Cross multiply
    217,612x = 332,858 × 332,858
  4. Step 4: Simplify right side
    217,612x = 110,794,448,164
  5. Step 5: Solve for x
    x = 110,794,448,164/217,612
  6. Step 6: Final answer
    x = 509,137.59

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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.