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Finding the Third Proportional to 132 and 235

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Solution

The third proportional to 132 and 235 is: 418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 235 = 235 : x
  2. Step 2: Convert to fraction form
    132/235 = 235/x
  3. Step 3: Cross multiply
    132x = 235 × 235
  4. Step 4: Simplify right side
    132x = 55,225
  5. Step 5: Solve for x
    x = 55,225/132
  6. Step 6: Final answer
    x = 418.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.