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Finding the Third Proportional to 248.06 and 541.92

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Solution

The third proportional to 248.06 and 541.92 is: 1,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.06 : 541.92 = 541.92 : x
  2. Step 2: Convert to fraction form
    248.06/541.92 = 541.92/x
  3. Step 3: Cross multiply
    248.06x = 541.92 × 541.92
  4. Step 4: Simplify right side
    248.06x = 293,682.49
  5. Step 5: Solve for x
    x = 293,682.49/248.06
  6. Step 6: Final answer
    x = 1,183.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.