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Finding the Third Proportional to 189.56 and 241.03

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Solution

The third proportional to 189.56 and 241.03 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.56 : 241.03 = 241.03 : x
  2. Step 2: Convert to fraction form
    189.56/241.03 = 241.03/x
  3. Step 3: Cross multiply
    189.56x = 241.03 × 241.03
  4. Step 4: Simplify right side
    189.56x = 58,096.06
  5. Step 5: Solve for x
    x = 58,096.06/189.56
  6. Step 6: Final answer
    x = 306.47

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.