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Finding the Third Proportional to 138.94 and 248.72

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Solution

The third proportional to 138.94 and 248.72 is: 445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.94 : 248.72 = 248.72 : x
  2. Step 2: Convert to fraction form
    138.94/248.72 = 248.72/x
  3. Step 3: Cross multiply
    138.94x = 248.72 × 248.72
  4. Step 4: Simplify right side
    138.94x = 61,861.02
  5. Step 5: Solve for x
    x = 61,861.02/138.94
  6. Step 6: Final answer
    x = 445.24

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.