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Finding the Third Proportional to 217.01 and 468.73

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Solution

The third proportional to 217.01 and 468.73 is: 1,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.01 : 468.73 = 468.73 : x
  2. Step 2: Convert to fraction form
    217.01/468.73 = 468.73/x
  3. Step 3: Cross multiply
    217.01x = 468.73 × 468.73
  4. Step 4: Simplify right side
    217.01x = 219,706.56
  5. Step 5: Solve for x
    x = 219,706.56/217.01
  6. Step 6: Final answer
    x = 1,012.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.