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Finding the Third Proportional to 179.40 and 281.92

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Solution

The third proportional to 179.40 and 281.92 is: 443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 281.92 = 281.92 : x
  2. Step 2: Convert to fraction form
    179.40/281.92 = 281.92/x
  3. Step 3: Cross multiply
    179.40x = 281.92 × 281.92
  4. Step 4: Simplify right side
    179.40x = 79,477.74
  5. Step 5: Solve for x
    x = 79,477.74/179.40
  6. Step 6: Final answer
    x = 443.01

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