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Finding the Third Proportional to 138.56 and 334.03

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Solution

The third proportional to 138.56 and 334.03 is: 805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.56 : 334.03 = 334.03 : x
  2. Step 2: Convert to fraction form
    138.56/334.03 = 334.03/x
  3. Step 3: Cross multiply
    138.56x = 334.03 × 334.03
  4. Step 4: Simplify right side
    138.56x = 111,576.88
  5. Step 5: Solve for x
    x = 111,576.88/138.56
  6. Step 6: Final answer
    x = 805.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.