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Finding the Third Proportional to 79.45 and 175.22

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Solution

The third proportional to 79.45 and 175.22 is: 386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.45 : 175.22 = 175.22 : x
  2. Step 2: Convert to fraction form
    79.45/175.22 = 175.22/x
  3. Step 3: Cross multiply
    79.45x = 175.22 × 175.22
  4. Step 4: Simplify right side
    79.45x = 30,701.61
  5. Step 5: Solve for x
    x = 30,701.61/79.45
  6. Step 6: Final answer
    x = 386.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.