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Finding the Third Proportional to 139.03 and 321.52

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Solution

The third proportional to 139.03 and 321.52 is: 743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.03 : 321.52 = 321.52 : x
  2. Step 2: Convert to fraction form
    139.03/321.52 = 321.52/x
  3. Step 3: Cross multiply
    139.03x = 321.52 × 321.52
  4. Step 4: Simplify right side
    139.03x = 103,372.30
  5. Step 5: Solve for x
    x = 103,372.30/139.03
  6. Step 6: Final answer
    x = 743.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.