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Finding the Third Proportional to 213.26 and 468.52

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Solution

The third proportional to 213.26 and 468.52 is: 1,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.26 : 468.52 = 468.52 : x
  2. Step 2: Convert to fraction form
    213.26/468.52 = 468.52/x
  3. Step 3: Cross multiply
    213.26x = 468.52 × 468.52
  4. Step 4: Simplify right side
    213.26x = 219,509.64
  5. Step 5: Solve for x
    x = 219,509.64/213.26
  6. Step 6: Final answer
    x = 1,029.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.