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Finding the Third Proportional to 180,327 and 280,696

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Solution

The third proportional to 180,327 and 280,696 is: 436,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,327 : 280,696 = 280,696 : x
  2. Step 2: Convert to fraction form
    180,327/280,696 = 280,696/x
  3. Step 3: Cross multiply
    180,327x = 280,696 × 280,696
  4. Step 4: Simplify right side
    180,327x = 78,790,244,416
  5. Step 5: Solve for x
    x = 78,790,244,416/180,327
  6. Step 6: Final answer
    x = 436,929.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.