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Finding the Third Proportional to 139.03 and 298.47

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Solution

The third proportional to 139.03 and 298.47 is: 640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.03 : 298.47 = 298.47 : x
  2. Step 2: Convert to fraction form
    139.03/298.47 = 298.47/x
  3. Step 3: Cross multiply
    139.03x = 298.47 × 298.47
  4. Step 4: Simplify right side
    139.03x = 89,084.32
  5. Step 5: Solve for x
    x = 89,084.32/139.03
  6. Step 6: Final answer
    x = 640.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.