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Finding the Third Proportional to 217.10 and 468.37

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Solution

The third proportional to 217.10 and 468.37 is: 1,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.10 : 468.37 = 468.37 : x
  2. Step 2: Convert to fraction form
    217.10/468.37 = 468.37/x
  3. Step 3: Cross multiply
    217.10x = 468.37 × 468.37
  4. Step 4: Simplify right side
    217.10x = 219,369.65
  5. Step 5: Solve for x
    x = 219,369.65/217.10
  6. Step 6: Final answer
    x = 1,010.46

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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.