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Finding the Third Proportional to 179.06 and 262.55

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Solution

The third proportional to 179.06 and 262.55 is: 384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.06 : 262.55 = 262.55 : x
  2. Step 2: Convert to fraction form
    179.06/262.55 = 262.55/x
  3. Step 3: Cross multiply
    179.06x = 262.55 × 262.55
  4. Step 4: Simplify right side
    179.06x = 68,930.86
  5. Step 5: Solve for x
    x = 68,930.86/179.06
  6. Step 6: Final answer
    x = 384.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.