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Finding the Third Proportional to 149,660.25 and 220,113.75

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Solution

The third proportional to 149,660.25 and 220,113.75 is: 323,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,660.25 : 220,113.75 = 220,113.75 : x
  2. Step 2: Convert to fraction form
    149,660.25/220,113.75 = 220,113.75/x
  3. Step 3: Cross multiply
    149,660.25x = 220,113.75 × 220,113.75
  4. Step 4: Simplify right side
    149,660.25x = 48,450,062,939.06
  5. Step 5: Solve for x
    x = 48,450,062,939.06/149,660.25
  6. Step 6: Final answer
    x = 323,733.68

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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.