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Finding the Third Proportional to 213.75 and 467.25

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Solution

The third proportional to 213.75 and 467.25 is: 1,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.75 : 467.25 = 467.25 : x
  2. Step 2: Convert to fraction form
    213.75/467.25 = 467.25/x
  3. Step 3: Cross multiply
    213.75x = 467.25 × 467.25
  4. Step 4: Simplify right side
    213.75x = 218,322.56
  5. Step 5: Solve for x
    x = 218,322.56/213.75
  6. Step 6: Final answer
    x = 1,021.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.