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Finding the Third Proportional to 182.06 and 272.44

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Solution

The third proportional to 182.06 and 272.44 is: 407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.06 : 272.44 = 272.44 : x
  2. Step 2: Convert to fraction form
    182.06/272.44 = 272.44/x
  3. Step 3: Cross multiply
    182.06x = 272.44 × 272.44
  4. Step 4: Simplify right side
    182.06x = 74,222.19
  5. Step 5: Solve for x
    x = 74,222.19/182.06
  6. Step 6: Final answer
    x = 407.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.