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Finding the Third Proportional to 237,107.25 and 421,584.75

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Solution

The third proportional to 237,107.25 and 421,584.75 is: 749,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,107.25 : 421,584.75 = 421,584.75 : x
  2. Step 2: Convert to fraction form
    237,107.25/421,584.75 = 421,584.75/x
  3. Step 3: Cross multiply
    237,107.25x = 421,584.75 × 421,584.75
  4. Step 4: Simplify right side
    237,107.25x = 177,733,701,432.56
  5. Step 5: Solve for x
    x = 177,733,701,432.56/237,107.25
  6. Step 6: Final answer
    x = 749,592.02

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.