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Finding the Third Proportional to 134.44 and 215.06

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Solution

The third proportional to 134.44 and 215.06 is: 344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.44 : 215.06 = 215.06 : x
  2. Step 2: Convert to fraction form
    134.44/215.06 = 215.06/x
  3. Step 3: Cross multiply
    134.44x = 215.06 × 215.06
  4. Step 4: Simplify right side
    134.44x = 46,251.88
  5. Step 5: Solve for x
    x = 46,251.88/134.44
  6. Step 6: Final answer
    x = 344.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.