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Finding the Third Proportional to 181.69 and 451.97

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Solution

The third proportional to 181.69 and 451.97 is: 1,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.69 : 451.97 = 451.97 : x
  2. Step 2: Convert to fraction form
    181.69/451.97 = 451.97/x
  3. Step 3: Cross multiply
    181.69x = 451.97 × 451.97
  4. Step 4: Simplify right side
    181.69x = 204,275.75
  5. Step 5: Solve for x
    x = 204,275.75/181.69
  6. Step 6: Final answer
    x = 1,124.32

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.