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Finding the Third Proportional to 150,252 and 324,205.50

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Solution

The third proportional to 150,252 and 324,205.50 is: 699,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,252 : 324,205.50 = 324,205.50 : x
  2. Step 2: Convert to fraction form
    150,252/324,205.50 = 324,205.50/x
  3. Step 3: Cross multiply
    150,252x = 324,205.50 × 324,205.50
  4. Step 4: Simplify right side
    150,252x = 105,109,206,230.25
  5. Step 5: Solve for x
    x = 105,109,206,230.25/150,252
  6. Step 6: Final answer
    x = 699,552.79

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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.