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Finding the Third Proportional to 171,753.75 and 378,378

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Solution

The third proportional to 171,753.75 and 378,378 is: 833,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,753.75 : 378,378 = 378,378 : x
  2. Step 2: Convert to fraction form
    171,753.75/378,378 = 378,378/x
  3. Step 3: Cross multiply
    171,753.75x = 378,378 × 378,378
  4. Step 4: Simplify right side
    171,753.75x = 143,169,910,884
  5. Step 5: Solve for x
    x = 143,169,910,884/171,753.75
  6. Step 6: Final answer
    x = 833,576.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.