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Finding the Third Proportional to 132.06 and 343.19

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Solution

The third proportional to 132.06 and 343.19 is: 891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.06 : 343.19 = 343.19 : x
  2. Step 2: Convert to fraction form
    132.06/343.19 = 343.19/x
  3. Step 3: Cross multiply
    132.06x = 343.19 × 343.19
  4. Step 4: Simplify right side
    132.06x = 117,777.66
  5. Step 5: Solve for x
    x = 117,777.66/132.06
  6. Step 6: Final answer
    x = 891.83

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.