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Finding the Third Proportional to 215.94 and 343.44

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Solution

The third proportional to 215.94 and 343.44 is: 546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.94 : 343.44 = 343.44 : x
  2. Step 2: Convert to fraction form
    215.94/343.44 = 343.44/x
  3. Step 3: Cross multiply
    215.94x = 343.44 × 343.44
  4. Step 4: Simplify right side
    215.94x = 117,949.32
  5. Step 5: Solve for x
    x = 117,949.32/215.94
  6. Step 6: Final answer
    x = 546.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.