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Finding the Third Proportional to 248.81 and 541.03

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Solution

The third proportional to 248.81 and 541.03 is: 1,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 541.03 = 541.03 : x
  2. Step 2: Convert to fraction form
    248.81/541.03 = 541.03/x
  3. Step 3: Cross multiply
    248.81x = 541.03 × 541.03
  4. Step 4: Simplify right side
    248.81x = 292,714.81
  5. Step 5: Solve for x
    x = 292,714.81/248.81
  6. Step 6: Final answer
    x = 1,176.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.