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Finding the Third Proportional to 184.13 and 389.44

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Solution

The third proportional to 184.13 and 389.44 is: 823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.13 : 389.44 = 389.44 : x
  2. Step 2: Convert to fraction form
    184.13/389.44 = 389.44/x
  3. Step 3: Cross multiply
    184.13x = 389.44 × 389.44
  4. Step 4: Simplify right side
    184.13x = 151,661.57
  5. Step 5: Solve for x
    x = 151,661.57/184.13
  6. Step 6: Final answer
    x = 823.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.