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Finding the Third Proportional to 250,411.50 and 381,813.75

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Solution

The third proportional to 250,411.50 and 381,813.75 is: 582,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,411.50 : 381,813.75 = 381,813.75 : x
  2. Step 2: Convert to fraction form
    250,411.50/381,813.75 = 381,813.75/x
  3. Step 3: Cross multiply
    250,411.50x = 381,813.75 × 381,813.75
  4. Step 4: Simplify right side
    250,411.50x = 145,781,739,689.06
  5. Step 5: Solve for x
    x = 145,781,739,689.06/250,411.50
  6. Step 6: Final answer
    x = 582,168.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.