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Finding the Third Proportional to 79.19 and 173.50

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Solution

The third proportional to 79.19 and 173.50 is: 380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.19 : 173.50 = 173.50 : x
  2. Step 2: Convert to fraction form
    79.19/173.50 = 173.50/x
  3. Step 3: Cross multiply
    79.19x = 173.50 × 173.50
  4. Step 4: Simplify right side
    79.19x = 30,102.25
  5. Step 5: Solve for x
    x = 30,102.25/79.19
  6. Step 6: Final answer
    x = 380.14

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Why These Related Problems?

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