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Finding the Third Proportional to 267,165 and 426,019.50

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Solution

The third proportional to 267,165 and 426,019.50 is: 679,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,165 : 426,019.50 = 426,019.50 : x
  2. Step 2: Convert to fraction form
    267,165/426,019.50 = 426,019.50/x
  3. Step 3: Cross multiply
    267,165x = 426,019.50 × 426,019.50
  4. Step 4: Simplify right side
    267,165x = 181,492,614,380.25
  5. Step 5: Solve for x
    x = 181,492,614,380.25/267,165
  6. Step 6: Final answer
    x = 679,327.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.