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Finding the Third Proportional to 217,221.75 and 332,297.44

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Solution

The third proportional to 217,221.75 and 332,297.44 is: 508,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,221.75 : 332,297.44 = 332,297.44 : x
  2. Step 2: Convert to fraction form
    217,221.75/332,297.44 = 332,297.44/x
  3. Step 3: Cross multiply
    217,221.75x = 332,297.44 × 332,297.44
  4. Step 4: Simplify right side
    217,221.75x = 110,421,586,969.07
  5. Step 5: Solve for x
    x = 110,421,586,969.07/217,221.75
  6. Step 6: Final answer
    x = 508,335.78

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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.