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Finding the Third Proportional to 180,605.25 and 395,466.75

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Solution

The third proportional to 180,605.25 and 395,466.75 is: 865,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,605.25 : 395,466.75 = 395,466.75 : x
  2. Step 2: Convert to fraction form
    180,605.25/395,466.75 = 395,466.75/x
  3. Step 3: Cross multiply
    180,605.25x = 395,466.75 × 395,466.75
  4. Step 4: Simplify right side
    180,605.25x = 156,393,950,355.56
  5. Step 5: Solve for x
    x = 156,393,950,355.56/180,605.25
  6. Step 6: Final answer
    x = 865,943.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.