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Finding the Third Proportional to 187,078.50 and 280,329.75

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Solution

The third proportional to 187,078.50 and 280,329.75 is: 420,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,078.50 : 280,329.75 = 280,329.75 : x
  2. Step 2: Convert to fraction form
    187,078.50/280,329.75 = 280,329.75/x
  3. Step 3: Cross multiply
    187,078.50x = 280,329.75 × 280,329.75
  4. Step 4: Simplify right side
    187,078.50x = 78,584,768,735.06
  5. Step 5: Solve for x
    x = 78,584,768,735.06/187,078.50
  6. Step 6: Final answer
    x = 420,063.07

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