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Finding the Third Proportional to 180,419 and 274,884

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Solution

The third proportional to 180,419 and 274,884 is: 418,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,419 : 274,884 = 274,884 : x
  2. Step 2: Convert to fraction form
    180,419/274,884 = 274,884/x
  3. Step 3: Cross multiply
    180,419x = 274,884 × 274,884
  4. Step 4: Simplify right side
    180,419x = 75,561,213,456
  5. Step 5: Solve for x
    x = 75,561,213,456/180,419
  6. Step 6: Final answer
    x = 418,809.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.