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Finding the Third Proportional to 183,750.75 and 275,627.25

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Solution

The third proportional to 183,750.75 and 275,627.25 is: 413,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,750.75 : 275,627.25 = 275,627.25 : x
  2. Step 2: Convert to fraction form
    183,750.75/275,627.25 = 275,627.25/x
  3. Step 3: Cross multiply
    183,750.75x = 275,627.25 × 275,627.25
  4. Step 4: Simplify right side
    183,750.75x = 75,970,380,942.56
  5. Step 5: Solve for x
    x = 75,970,380,942.56/183,750.75
  6. Step 6: Final answer
    x = 413,442.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.