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Finding the Third Proportional to 101.46 and 190.55

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Solution

The third proportional to 101.46 and 190.55 is: 357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 190.55 = 190.55 : x
  2. Step 2: Convert to fraction form
    101.46/190.55 = 190.55/x
  3. Step 3: Cross multiply
    101.46x = 190.55 × 190.55
  4. Step 4: Simplify right side
    101.46x = 36,308.11
  5. Step 5: Solve for x
    x = 36,308.11/101.46
  6. Step 6: Final answer
    x = 357.85

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.