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Finding the Third Proportional to 180,769.50 and 381,855

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Solution

The third proportional to 180,769.50 and 381,855 is: 806,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,769.50 : 381,855 = 381,855 : x
  2. Step 2: Convert to fraction form
    180,769.50/381,855 = 381,855/x
  3. Step 3: Cross multiply
    180,769.50x = 381,855 × 381,855
  4. Step 4: Simplify right side
    180,769.50x = 145,813,241,025
  5. Step 5: Solve for x
    x = 145,813,241,025/180,769.50
  6. Step 6: Final answer
    x = 806,625.24

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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.