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Finding the Third Proportional to 174,969 and 267,983

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Solution

The third proportional to 174,969 and 267,983 is: 410,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,969 : 267,983 = 267,983 : x
  2. Step 2: Convert to fraction form
    174,969/267,983 = 267,983/x
  3. Step 3: Cross multiply
    174,969x = 267,983 × 267,983
  4. Step 4: Simplify right side
    174,969x = 71,814,888,289
  5. Step 5: Solve for x
    x = 71,814,888,289/174,969
  6. Step 6: Final answer
    x = 410,443.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.