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Finding the Third Proportional to 117,884 and 180,269

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Solution

The third proportional to 117,884 and 180,269 is: 275,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,884 : 180,269 = 180,269 : x
  2. Step 2: Convert to fraction form
    117,884/180,269 = 180,269/x
  3. Step 3: Cross multiply
    117,884x = 180,269 × 180,269
  4. Step 4: Simplify right side
    117,884x = 32,496,912,361
  5. Step 5: Solve for x
    x = 32,496,912,361/117,884
  6. Step 6: Final answer
    x = 275,668.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.