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Finding the Third Proportional to 80,184 and 173,216

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Solution

The third proportional to 80,184 and 173,216 is: 374,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,184 : 173,216 = 173,216 : x
  2. Step 2: Convert to fraction form
    80,184/173,216 = 173,216/x
  3. Step 3: Cross multiply
    80,184x = 173,216 × 173,216
  4. Step 4: Simplify right side
    80,184x = 30,003,782,656
  5. Step 5: Solve for x
    x = 30,003,782,656/80,184
  6. Step 6: Final answer
    x = 374,186.65

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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.