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Finding the Third Proportional to 180,663 and 268,375

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Solution

The third proportional to 180,663 and 268,375 is: 398,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,663 : 268,375 = 268,375 : x
  2. Step 2: Convert to fraction form
    180,663/268,375 = 268,375/x
  3. Step 3: Cross multiply
    180,663x = 268,375 × 268,375
  4. Step 4: Simplify right side
    180,663x = 72,025,140,625
  5. Step 5: Solve for x
    x = 72,025,140,625/180,663
  6. Step 6: Final answer
    x = 398,671.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.