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Finding the Third Proportional to 149,451.75 and 323,325

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Solution

The third proportional to 149,451.75 and 323,325 is: 699,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,451.75 : 323,325 = 323,325 : x
  2. Step 2: Convert to fraction form
    149,451.75/323,325 = 323,325/x
  3. Step 3: Cross multiply
    149,451.75x = 323,325 × 323,325
  4. Step 4: Simplify right side
    149,451.75x = 104,539,055,625
  5. Step 5: Solve for x
    x = 104,539,055,625/149,451.75
  6. Step 6: Final answer
    x = 699,483.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.