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Finding the Third Proportional to 79.95 and 184.68

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Solution

The third proportional to 79.95 and 184.68 is: 426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.95 : 184.68 = 184.68 : x
  2. Step 2: Convert to fraction form
    79.95/184.68 = 184.68/x
  3. Step 3: Cross multiply
    79.95x = 184.68 × 184.68
  4. Step 4: Simplify right side
    79.95x = 34,105.14
  5. Step 5: Solve for x
    x = 34,105.14/79.95
  6. Step 6: Final answer
    x = 426.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.