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Finding the Third Proportional to 235,828.50 and 333,375

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Solution

The third proportional to 235,828.50 and 333,375 is: 471,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,828.50 : 333,375 = 333,375 : x
  2. Step 2: Convert to fraction form
    235,828.50/333,375 = 333,375/x
  3. Step 3: Cross multiply
    235,828.50x = 333,375 × 333,375
  4. Step 4: Simplify right side
    235,828.50x = 111,138,890,625
  5. Step 5: Solve for x
    x = 111,138,890,625/235,828.50
  6. Step 6: Final answer
    x = 471,269.97

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.