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Finding the Third Proportional to 162.94 and 248.44

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Solution

The third proportional to 162.94 and 248.44 is: 378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.94 : 248.44 = 248.44 : x
  2. Step 2: Convert to fraction form
    162.94/248.44 = 248.44/x
  3. Step 3: Cross multiply
    162.94x = 248.44 × 248.44
  4. Step 4: Simplify right side
    162.94x = 61,721.19
  5. Step 5: Solve for x
    x = 61,721.19/162.94
  6. Step 6: Final answer
    x = 378.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.