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Finding the Third Proportional to 251,723.25 and 381,240.75

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Solution

The third proportional to 251,723.25 and 381,240.75 is: 577,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,723.25 : 381,240.75 = 381,240.75 : x
  2. Step 2: Convert to fraction form
    251,723.25/381,240.75 = 381,240.75/x
  3. Step 3: Cross multiply
    251,723.25x = 381,240.75 × 381,240.75
  4. Step 4: Simplify right side
    251,723.25x = 145,344,509,460.56
  5. Step 5: Solve for x
    x = 145,344,509,460.56/251,723.25
  6. Step 6: Final answer
    x = 577,398.03

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