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Finding the Third Proportional to 203,507.50 and 299,163.75

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Solution

The third proportional to 203,507.50 and 299,163.75 is: 439,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,507.50 : 299,163.75 = 299,163.75 : x
  2. Step 2: Convert to fraction form
    203,507.50/299,163.75 = 299,163.75/x
  3. Step 3: Cross multiply
    203,507.50x = 299,163.75 × 299,163.75
  4. Step 4: Simplify right side
    203,507.50x = 89,498,949,314.06
  5. Step 5: Solve for x
    x = 89,498,949,314.06/203,507.50
  6. Step 6: Final answer
    x = 439,782.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.