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Finding the Third Proportional to 179.94 and 286.46

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Solution

The third proportional to 179.94 and 286.46 is: 456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.94 : 286.46 = 286.46 : x
  2. Step 2: Convert to fraction form
    179.94/286.46 = 286.46/x
  3. Step 3: Cross multiply
    179.94x = 286.46 × 286.46
  4. Step 4: Simplify right side
    179.94x = 82,057.28
  5. Step 5: Solve for x
    x = 82,057.28/179.94
  6. Step 6: Final answer
    x = 456.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.