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Finding the Third Proportional to 79.50 and 173.94

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Solution

The third proportional to 79.50 and 173.94 is: 380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.50 : 173.94 = 173.94 : x
  2. Step 2: Convert to fraction form
    79.50/173.94 = 173.94/x
  3. Step 3: Cross multiply
    79.50x = 173.94 × 173.94
  4. Step 4: Simplify right side
    79.50x = 30,256.63
  5. Step 5: Solve for x
    x = 30,256.63/79.50
  6. Step 6: Final answer
    x = 380.60

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