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Finding the Third Proportional to 139.88 and 303.31

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Solution

The third proportional to 139.88 and 303.31 is: 657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.88 : 303.31 = 303.31 : x
  2. Step 2: Convert to fraction form
    139.88/303.31 = 303.31/x
  3. Step 3: Cross multiply
    139.88x = 303.31 × 303.31
  4. Step 4: Simplify right side
    139.88x = 91,998.47
  5. Step 5: Solve for x
    x = 91,998.47/139.88
  6. Step 6: Final answer
    x = 657.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.