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Finding the Third Proportional to 173.63 and 371.16

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Solution

The third proportional to 173.63 and 371.16 is: 793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.63 : 371.16 = 371.16 : x
  2. Step 2: Convert to fraction form
    173.63/371.16 = 371.16/x
  3. Step 3: Cross multiply
    173.63x = 371.16 × 371.16
  4. Step 4: Simplify right side
    173.63x = 137,756.96
  5. Step 5: Solve for x
    x = 137,756.96/173.63
  6. Step 6: Final answer
    x = 793.42

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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.