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Finding the Third Proportional to 184.08 and 343.17

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Solution

The third proportional to 184.08 and 343.17 is: 639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.08 : 343.17 = 343.17 : x
  2. Step 2: Convert to fraction form
    184.08/343.17 = 343.17/x
  3. Step 3: Cross multiply
    184.08x = 343.17 × 343.17
  4. Step 4: Simplify right side
    184.08x = 117,766.94
  5. Step 5: Solve for x
    x = 117,766.94/184.08
  6. Step 6: Final answer
    x = 639.77

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.