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Finding the Third Proportional to 132.94 and 194.34

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Solution

The third proportional to 132.94 and 194.34 is: 284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.94 : 194.34 = 194.34 : x
  2. Step 2: Convert to fraction form
    132.94/194.34 = 194.34/x
  3. Step 3: Cross multiply
    132.94x = 194.34 × 194.34
  4. Step 4: Simplify right side
    132.94x = 37,769.49
  5. Step 5: Solve for x
    x = 37,769.49/132.94
  6. Step 6: Final answer
    x = 284.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.