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Finding the Third Proportional to 177,193.50 and 378,975

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Solution

The third proportional to 177,193.50 and 378,975 is: 810,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,193.50 : 378,975 = 378,975 : x
  2. Step 2: Convert to fraction form
    177,193.50/378,975 = 378,975/x
  3. Step 3: Cross multiply
    177,193.50x = 378,975 × 378,975
  4. Step 4: Simplify right side
    177,193.50x = 143,622,050,625
  5. Step 5: Solve for x
    x = 143,622,050,625/177,193.50
  6. Step 6: Final answer
    x = 810,537.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.