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Finding the Third Proportional to 201,226.25 and 437,396.75

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Solution

The third proportional to 201,226.25 and 437,396.75 is: 950,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,226.25 : 437,396.75 = 437,396.75 : x
  2. Step 2: Convert to fraction form
    201,226.25/437,396.75 = 437,396.75/x
  3. Step 3: Cross multiply
    201,226.25x = 437,396.75 × 437,396.75
  4. Step 4: Simplify right side
    201,226.25x = 191,315,916,910.56
  5. Step 5: Solve for x
    x = 191,315,916,910.56/201,226.25
  6. Step 6: Final answer
    x = 950,750.30

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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.