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Finding the Third Proportional to 149,028.50 and 225,468.75

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Solution

The third proportional to 149,028.50 and 225,468.75 is: 341,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,028.50 : 225,468.75 = 225,468.75 : x
  2. Step 2: Convert to fraction form
    149,028.50/225,468.75 = 225,468.75/x
  3. Step 3: Cross multiply
    149,028.50x = 225,468.75 × 225,468.75
  4. Step 4: Simplify right side
    149,028.50x = 50,836,157,226.56
  5. Step 5: Solve for x
    x = 50,836,157,226.56/149,028.50
  6. Step 6: Final answer
    x = 341,117.02

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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.