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Finding the Third Proportional to 173.63 and 371.44

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Solution

The third proportional to 173.63 and 371.44 is: 794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.63 : 371.44 = 371.44 : x
  2. Step 2: Convert to fraction form
    173.63/371.44 = 371.44/x
  3. Step 3: Cross multiply
    173.63x = 371.44 × 371.44
  4. Step 4: Simplify right side
    173.63x = 137,965.82
  5. Step 5: Solve for x
    x = 137,965.82/173.63
  6. Step 6: Final answer
    x = 794.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.