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Finding the Third Proportional to 208,936.50 and 451,122

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Solution

The third proportional to 208,936.50 and 451,122 is: 974,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,936.50 : 451,122 = 451,122 : x
  2. Step 2: Convert to fraction form
    208,936.50/451,122 = 451,122/x
  3. Step 3: Cross multiply
    208,936.50x = 451,122 × 451,122
  4. Step 4: Simplify right side
    208,936.50x = 203,511,058,884
  5. Step 5: Solve for x
    x = 203,511,058,884/208,936.50
  6. Step 6: Final answer
    x = 974,033.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.