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Finding the Third Proportional to 131,811 and 283,645.50

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Solution

The third proportional to 131,811 and 283,645.50 is: 610,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,811 : 283,645.50 = 283,645.50 : x
  2. Step 2: Convert to fraction form
    131,811/283,645.50 = 283,645.50/x
  3. Step 3: Cross multiply
    131,811x = 283,645.50 × 283,645.50
  4. Step 4: Simplify right side
    131,811x = 80,454,769,670.25
  5. Step 5: Solve for x
    x = 80,454,769,670.25/131,811
  6. Step 6: Final answer
    x = 610,379.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.