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Finding the Third Proportional to 247.88 and 371.63

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Solution

The third proportional to 247.88 and 371.63 is: 557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.88 : 371.63 = 371.63 : x
  2. Step 2: Convert to fraction form
    247.88/371.63 = 371.63/x
  3. Step 3: Cross multiply
    247.88x = 371.63 × 371.63
  4. Step 4: Simplify right side
    247.88x = 138,105.14
  5. Step 5: Solve for x
    x = 138,105.14/247.88
  6. Step 6: Final answer
    x = 557.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.