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Finding the Third Proportional to 184.39 and 250.24

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Solution

The third proportional to 184.39 and 250.24 is: 339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.39 : 250.24 = 250.24 : x
  2. Step 2: Convert to fraction form
    184.39/250.24 = 250.24/x
  3. Step 3: Cross multiply
    184.39x = 250.24 × 250.24
  4. Step 4: Simplify right side
    184.39x = 62,618.95
  5. Step 5: Solve for x
    x = 62,618.95/184.39
  6. Step 6: Final answer
    x = 339.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.