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Finding the Third Proportional to 173.13 and 363.88

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Solution

The third proportional to 173.13 and 363.88 is: 764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.13 : 363.88 = 363.88 : x
  2. Step 2: Convert to fraction form
    173.13/363.88 = 363.88/x
  3. Step 3: Cross multiply
    173.13x = 363.88 × 363.88
  4. Step 4: Simplify right side
    173.13x = 132,405.02
  5. Step 5: Solve for x
    x = 132,405.02/173.13
  6. Step 6: Final answer
    x = 764.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.