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Finding the Third Proportional to 247.63 and 541.38

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Solution

The third proportional to 247.63 and 541.38 is: 1,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.63 : 541.38 = 541.38 : x
  2. Step 2: Convert to fraction form
    247.63/541.38 = 541.38/x
  3. Step 3: Cross multiply
    247.63x = 541.38 × 541.38
  4. Step 4: Simplify right side
    247.63x = 293,086.89
  5. Step 5: Solve for x
    x = 293,086.89/247.63
  6. Step 6: Final answer
    x = 1,183.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.