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Finding the Third Proportional to 252,650.75 and 381,608.38

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Solution

The third proportional to 252,650.75 and 381,608.38 is: 576,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,650.75 : 381,608.38 = 381,608.38 : x
  2. Step 2: Convert to fraction form
    252,650.75/381,608.38 = 381,608.38/x
  3. Step 3: Cross multiply
    252,650.75x = 381,608.38 × 381,608.38
  4. Step 4: Simplify right side
    252,650.75x = 145,624,951,870.14
  5. Step 5: Solve for x
    x = 145,624,951,870.14/252,650.75
  6. Step 6: Final answer
    x = 576,388.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.