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Finding the Third Proportional to 149,677.75 and 332,570.75

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Solution

The third proportional to 149,677.75 and 332,570.75 is: 738,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,677.75 : 332,570.75 = 332,570.75 : x
  2. Step 2: Convert to fraction form
    149,677.75/332,570.75 = 332,570.75/x
  3. Step 3: Cross multiply
    149,677.75x = 332,570.75 × 332,570.75
  4. Step 4: Simplify right side
    149,677.75x = 110,603,303,755.56
  5. Step 5: Solve for x
    x = 110,603,303,755.56/149,677.75
  6. Step 6: Final answer
    x = 738,942.85

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.