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Finding the Third Proportional to 184.99 and 404.16

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Solution

The third proportional to 184.99 and 404.16 is: 882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.99 : 404.16 = 404.16 : x
  2. Step 2: Convert to fraction form
    184.99/404.16 = 404.16/x
  3. Step 3: Cross multiply
    184.99x = 404.16 × 404.16
  4. Step 4: Simplify right side
    184.99x = 163,342.27
  5. Step 5: Solve for x
    x = 163,342.27/184.99
  6. Step 6: Final answer
    x = 882.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.