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Finding the Third Proportional to 267,910.50 and 364,848

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Solution

The third proportional to 267,910.50 and 364,848 is: 496,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,910.50 : 364,848 = 364,848 : x
  2. Step 2: Convert to fraction form
    267,910.50/364,848 = 364,848/x
  3. Step 3: Cross multiply
    267,910.50x = 364,848 × 364,848
  4. Step 4: Simplify right side
    267,910.50x = 133,114,063,104
  5. Step 5: Solve for x
    x = 133,114,063,104/267,910.50
  6. Step 6: Final answer
    x = 496,860.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.