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Finding the Third Proportional to 150,804.75 and 324,777.75

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Solution

The third proportional to 150,804.75 and 324,777.75 is: 699,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,804.75 : 324,777.75 = 324,777.75 : x
  2. Step 2: Convert to fraction form
    150,804.75/324,777.75 = 324,777.75/x
  3. Step 3: Cross multiply
    150,804.75x = 324,777.75 × 324,777.75
  4. Step 4: Simplify right side
    150,804.75x = 105,480,586,895.06
  5. Step 5: Solve for x
    x = 105,480,586,895.06/150,804.75
  6. Step 6: Final answer
    x = 699,451.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.