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Finding the Third Proportional to 164.81 and 248.48

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Solution

The third proportional to 164.81 and 248.48 is: 374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.81 : 248.48 = 248.48 : x
  2. Step 2: Convert to fraction form
    164.81/248.48 = 248.48/x
  3. Step 3: Cross multiply
    164.81x = 248.48 × 248.48
  4. Step 4: Simplify right side
    164.81x = 61,744.48
  5. Step 5: Solve for x
    x = 61,744.48/164.81
  6. Step 6: Final answer
    x = 374.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.