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Finding the Third Proportional to 180,674.50 and 381,698

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Solution

The third proportional to 180,674.50 and 381,698 is: 806,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,674.50 : 381,698 = 381,698 : x
  2. Step 2: Convert to fraction form
    180,674.50/381,698 = 381,698/x
  3. Step 3: Cross multiply
    180,674.50x = 381,698 × 381,698
  4. Step 4: Simplify right side
    180,674.50x = 145,693,363,204
  5. Step 5: Solve for x
    x = 145,693,363,204/180,674.50
  6. Step 6: Final answer
    x = 806,385.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.