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Finding the Third Proportional to 80,256.50 and 173,144

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Solution

The third proportional to 80,256.50 and 173,144 is: 373,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,256.50 : 173,144 = 173,144 : x
  2. Step 2: Convert to fraction form
    80,256.50/173,144 = 173,144/x
  3. Step 3: Cross multiply
    80,256.50x = 173,144 × 173,144
  4. Step 4: Simplify right side
    80,256.50x = 29,978,844,736
  5. Step 5: Solve for x
    x = 29,978,844,736/80,256.50
  6. Step 6: Final answer
    x = 373,537.90

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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.