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Finding the Third Proportional to 208,131.75 and 451,255.50

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Solution

The third proportional to 208,131.75 and 451,255.50 is: 978,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,131.75 : 451,255.50 = 451,255.50 : x
  2. Step 2: Convert to fraction form
    208,131.75/451,255.50 = 451,255.50/x
  3. Step 3: Cross multiply
    208,131.75x = 451,255.50 × 451,255.50
  4. Step 4: Simplify right side
    208,131.75x = 203,631,526,280.25
  5. Step 5: Solve for x
    x = 203,631,526,280.25/208,131.75
  6. Step 6: Final answer
    x = 978,378.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.