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Finding the Third Proportional to 182.61 and 379.63

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Solution

The third proportional to 182.61 and 379.63 is: 789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.61 : 379.63 = 379.63 : x
  2. Step 2: Convert to fraction form
    182.61/379.63 = 379.63/x
  3. Step 3: Cross multiply
    182.61x = 379.63 × 379.63
  4. Step 4: Simplify right side
    182.61x = 144,117.55
  5. Step 5: Solve for x
    x = 144,117.55/182.61
  6. Step 6: Final answer
    x = 789.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.