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Finding the Third Proportional to 184.82 and 364.46

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Solution

The third proportional to 184.82 and 364.46 is: 718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.82 : 364.46 = 364.46 : x
  2. Step 2: Convert to fraction form
    184.82/364.46 = 364.46/x
  3. Step 3: Cross multiply
    184.82x = 364.46 × 364.46
  4. Step 4: Simplify right side
    184.82x = 132,834.62
  5. Step 5: Solve for x
    x = 132,834.62/184.82
  6. Step 6: Final answer
    x = 718.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.