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Finding the Third Proportional to 133.44 and 214.06

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Solution

The third proportional to 133.44 and 214.06 is: 343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.44 : 214.06 = 214.06 : x
  2. Step 2: Convert to fraction form
    133.44/214.06 = 214.06/x
  3. Step 3: Cross multiply
    133.44x = 214.06 × 214.06
  4. Step 4: Simplify right side
    133.44x = 45,822.75
  5. Step 5: Solve for x
    x = 45,822.75/133.44
  6. Step 6: Final answer
    x = 343.40

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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.