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Finding the Third Proportional to 80,173.50 and 173,184

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Solution

The third proportional to 80,173.50 and 173,184 is: 374,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,173.50 : 173,184 = 173,184 : x
  2. Step 2: Convert to fraction form
    80,173.50/173,184 = 173,184/x
  3. Step 3: Cross multiply
    80,173.50x = 173,184 × 173,184
  4. Step 4: Simplify right side
    80,173.50x = 29,992,697,856
  5. Step 5: Solve for x
    x = 29,992,697,856/80,173.50
  6. Step 6: Final answer
    x = 374,097.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.