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Finding the Third Proportional to 184.19 and 404.94

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Solution

The third proportional to 184.19 and 404.94 is: 890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.19 : 404.94 = 404.94 : x
  2. Step 2: Convert to fraction form
    184.19/404.94 = 404.94/x
  3. Step 3: Cross multiply
    184.19x = 404.94 × 404.94
  4. Step 4: Simplify right side
    184.19x = 163,974.38
  5. Step 5: Solve for x
    x = 163,974.38/184.19
  6. Step 6: Final answer
    x = 890.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.