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Finding the Third Proportional to 180,869 and 393,519

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Solution

The third proportional to 180,869 and 393,519 is: 856,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,869 : 393,519 = 393,519 : x
  2. Step 2: Convert to fraction form
    180,869/393,519 = 393,519/x
  3. Step 3: Cross multiply
    180,869x = 393,519 × 393,519
  4. Step 4: Simplify right side
    180,869x = 154,857,203,361
  5. Step 5: Solve for x
    x = 154,857,203,361/180,869
  6. Step 6: Final answer
    x = 856,184.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.