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Finding the Third Proportional to 150,537.75 and 324,575.25

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Solution

The third proportional to 150,537.75 and 324,575.25 is: 699,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,537.75 : 324,575.25 = 324,575.25 : x
  2. Step 2: Convert to fraction form
    150,537.75/324,575.25 = 324,575.25/x
  3. Step 3: Cross multiply
    150,537.75x = 324,575.25 × 324,575.25
  4. Step 4: Simplify right side
    150,537.75x = 105,349,092,912.56
  5. Step 5: Solve for x
    x = 105,349,092,912.56/150,537.75
  6. Step 6: Final answer
    x = 699,818.44

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Why These Related Problems?

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