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Finding the Third Proportional to 215.16 and 464.48

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Solution

The third proportional to 215.16 and 464.48 is: 1,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 464.48 = 464.48 : x
  2. Step 2: Convert to fraction form
    215.16/464.48 = 464.48/x
  3. Step 3: Cross multiply
    215.16x = 464.48 × 464.48
  4. Step 4: Simplify right side
    215.16x = 215,745.73
  5. Step 5: Solve for x
    x = 215,745.73/215.16
  6. Step 6: Final answer
    x = 1,002.74

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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.