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Finding the Third Proportional to 79.13 and 174.19

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Solution

The third proportional to 79.13 and 174.19 is: 383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.13 : 174.19 = 174.19 : x
  2. Step 2: Convert to fraction form
    79.13/174.19 = 174.19/x
  3. Step 3: Cross multiply
    79.13x = 174.19 × 174.19
  4. Step 4: Simplify right side
    79.13x = 30,341.29
  5. Step 5: Solve for x
    x = 30,341.29/79.13
  6. Step 6: Final answer
    x = 383.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.