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Finding the Third Proportional to 231,232.50 and 504,375

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Solution

The third proportional to 231,232.50 and 504,375 is: 1,100,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,232.50 : 504,375 = 504,375 : x
  2. Step 2: Convert to fraction form
    231,232.50/504,375 = 504,375/x
  3. Step 3: Cross multiply
    231,232.50x = 504,375 × 504,375
  4. Step 4: Simplify right side
    231,232.50x = 254,394,140,625
  5. Step 5: Solve for x
    x = 254,394,140,625/231,232.50
  6. Step 6: Final answer
    x = 1,100,166.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.