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Finding the Third Proportional to 179,791.50 and 376,805.25

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Solution

The third proportional to 179,791.50 and 376,805.25 is: 789,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,791.50 : 376,805.25 = 376,805.25 : x
  2. Step 2: Convert to fraction form
    179,791.50/376,805.25 = 376,805.25/x
  3. Step 3: Cross multiply
    179,791.50x = 376,805.25 × 376,805.25
  4. Step 4: Simplify right side
    179,791.50x = 141,982,196,427.56
  5. Step 5: Solve for x
    x = 141,982,196,427.56/179,791.50
  6. Step 6: Final answer
    x = 789,704.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.