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Finding the Third Proportional to 215.00 and 241.42

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Solution

The third proportional to 215.00 and 241.42 is: 271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.00 : 241.42 = 241.42 : x
  2. Step 2: Convert to fraction form
    215.00/241.42 = 241.42/x
  3. Step 3: Cross multiply
    215.00x = 241.42 × 241.42
  4. Step 4: Simplify right side
    215.00x = 58,282.64
  5. Step 5: Solve for x
    x = 58,282.64/215.00
  6. Step 6: Final answer
    x = 271.08

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.