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Finding the Third Proportional to 150,452 and 204,914.50

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Solution

The third proportional to 150,452 and 204,914.50 is: 279,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,452 : 204,914.50 = 204,914.50 : x
  2. Step 2: Convert to fraction form
    150,452/204,914.50 = 204,914.50/x
  3. Step 3: Cross multiply
    150,452x = 204,914.50 × 204,914.50
  4. Step 4: Simplify right side
    150,452x = 41,989,952,310.25
  5. Step 5: Solve for x
    x = 41,989,952,310.25/150,452
  6. Step 6: Final answer
    x = 279,092.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.