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Finding the Third Proportional to 203,181 and 298,879.50

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Solution

The third proportional to 203,181 and 298,879.50 is: 439,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,181 : 298,879.50 = 298,879.50 : x
  2. Step 2: Convert to fraction form
    203,181/298,879.50 = 298,879.50/x
  3. Step 3: Cross multiply
    203,181x = 298,879.50 × 298,879.50
  4. Step 4: Simplify right side
    203,181x = 89,328,955,520.25
  5. Step 5: Solve for x
    x = 89,328,955,520.25/203,181
  6. Step 6: Final answer
    x = 439,652.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.