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Finding the Third Proportional to 139.78 and 246.38

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Solution

The third proportional to 139.78 and 246.38 is: 434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.78 : 246.38 = 246.38 : x
  2. Step 2: Convert to fraction form
    139.78/246.38 = 246.38/x
  3. Step 3: Cross multiply
    139.78x = 246.38 × 246.38
  4. Step 4: Simplify right side
    139.78x = 60,700.64
  5. Step 5: Solve for x
    x = 60,700.64/139.78
  6. Step 6: Final answer
    x = 434.25

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.