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Finding the Third Proportional to 251,238.75 and 341,163.75

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Solution

The third proportional to 251,238.75 and 341,163.75 is: 463,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,238.75 : 341,163.75 = 341,163.75 : x
  2. Step 2: Convert to fraction form
    251,238.75/341,163.75 = 341,163.75/x
  3. Step 3: Cross multiply
    251,238.75x = 341,163.75 × 341,163.75
  4. Step 4: Simplify right side
    251,238.75x = 116,392,704,314.06
  5. Step 5: Solve for x
    x = 116,392,704,314.06/251,238.75
  6. Step 6: Final answer
    x = 463,275.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.