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Finding the Third Proportional to 184.03 and 396.94

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Solution

The third proportional to 184.03 and 396.94 is: 856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.03 : 396.94 = 396.94 : x
  2. Step 2: Convert to fraction form
    184.03/396.94 = 396.94/x
  3. Step 3: Cross multiply
    184.03x = 396.94 × 396.94
  4. Step 4: Simplify right side
    184.03x = 157,559.38
  5. Step 5: Solve for x
    x = 157,559.38/184.03
  6. Step 6: Final answer
    x = 856.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.