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Finding the Third Proportional to 179.94 and 282.88

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Solution

The third proportional to 179.94 and 282.88 is: 444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.94 : 282.88 = 282.88 : x
  2. Step 2: Convert to fraction form
    179.94/282.88 = 282.88/x
  3. Step 3: Cross multiply
    179.94x = 282.88 × 282.88
  4. Step 4: Simplify right side
    179.94x = 80,018.27
  5. Step 5: Solve for x
    x = 80,018.27/179.94
  6. Step 6: Final answer
    x = 444.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.