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Finding the Third Proportional to 267,840.50 and 405,216.75

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Solution

The third proportional to 267,840.50 and 405,216.75 is: 613,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,840.50 : 405,216.75 = 405,216.75 : x
  2. Step 2: Convert to fraction form
    267,840.50/405,216.75 = 405,216.75/x
  3. Step 3: Cross multiply
    267,840.50x = 405,216.75 × 405,216.75
  4. Step 4: Simplify right side
    267,840.50x = 164,200,614,480.56
  5. Step 5: Solve for x
    x = 164,200,614,480.56/267,840.50
  6. Step 6: Final answer
    x = 613,053.72

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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.