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Finding the Third Proportional to 267,850.13 and 405,231.19

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Solution

The third proportional to 267,850.13 and 405,231.19 is: 613,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,850.13 : 405,231.19 = 405,231.19 : x
  2. Step 2: Convert to fraction form
    267,850.13/405,231.19 = 405,231.19/x
  3. Step 3: Cross multiply
    267,850.13x = 405,231.19 × 405,231.19
  4. Step 4: Simplify right side
    267,850.13x = 164,212,315,322.66
  5. Step 5: Solve for x
    x = 164,212,315,322.66/267,850.13
  6. Step 6: Final answer
    x = 613,075.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.