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Finding the Third Proportional to 267,900.19 and 408,131.06

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Solution

The third proportional to 267,900.19 and 408,131.06 is: 621,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,900.19 : 408,131.06 = 408,131.06 : x
  2. Step 2: Convert to fraction form
    267,900.19/408,131.06 = 408,131.06/x
  3. Step 3: Cross multiply
    267,900.19x = 408,131.06 × 408,131.06
  4. Step 4: Simplify right side
    267,900.19x = 166,570,964,177.38
  5. Step 5: Solve for x
    x = 166,570,964,177.38/267,900.19
  6. Step 6: Final answer
    x = 621,765.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.