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Finding the Third Proportional to 181.69 and 271.84

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Solution

The third proportional to 181.69 and 271.84 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.69 : 271.84 = 271.84 : x
  2. Step 2: Convert to fraction form
    181.69/271.84 = 271.84/x
  3. Step 3: Cross multiply
    181.69x = 271.84 × 271.84
  4. Step 4: Simplify right side
    181.69x = 73,899.02
  5. Step 5: Solve for x
    x = 73,899.02/181.69
  6. Step 6: Final answer
    x = 406.74

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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.