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Finding the Third Proportional to 80,518 and 173,436

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Solution

The third proportional to 80,518 and 173,436 is: 373,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,518 : 173,436 = 173,436 : x
  2. Step 2: Convert to fraction form
    80,518/173,436 = 173,436/x
  3. Step 3: Cross multiply
    80,518x = 173,436 × 173,436
  4. Step 4: Simplify right side
    80,518x = 30,080,046,096
  5. Step 5: Solve for x
    x = 30,080,046,096/80,518
  6. Step 6: Final answer
    x = 373,581.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.