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Finding the Third Proportional to 80,144.44 and 173,000.81

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Solution

The third proportional to 80,144.44 and 173,000.81 is: 373,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,144.44 : 173,000.81 = 173,000.81 : x
  2. Step 2: Convert to fraction form
    80,144.44/173,000.81 = 173,000.81/x
  3. Step 3: Cross multiply
    80,144.44x = 173,000.81 × 173,000.81
  4. Step 4: Simplify right side
    80,144.44x = 29,929,281,125.66
  5. Step 5: Solve for x
    x = 29,929,281,125.66/80,144.44
  6. Step 6: Final answer
    x = 373,441.78

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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.