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Finding the Third Proportional to 233,919.75 and 352,542

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Solution

The third proportional to 233,919.75 and 352,542 is: 531,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,919.75 : 352,542 = 352,542 : x
  2. Step 2: Convert to fraction form
    233,919.75/352,542 = 352,542/x
  3. Step 3: Cross multiply
    233,919.75x = 352,542 × 352,542
  4. Step 4: Simplify right side
    233,919.75x = 124,285,861,764
  5. Step 5: Solve for x
    x = 124,285,861,764/233,919.75
  6. Step 6: Final answer
    x = 531,318.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.