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Finding the Third Proportional to 181.94 and 404.19

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Solution

The third proportional to 181.94 and 404.19 is: 897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.94 : 404.19 = 404.19 : x
  2. Step 2: Convert to fraction form
    181.94/404.19 = 404.19/x
  3. Step 3: Cross multiply
    181.94x = 404.19 × 404.19
  4. Step 4: Simplify right side
    181.94x = 163,367.54
  5. Step 5: Solve for x
    x = 163,367.54/181.94
  6. Step 6: Final answer
    x = 897.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.