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Finding the Third Proportional to 181,059 and 263,380.50

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Solution

The third proportional to 181,059 and 263,380.50 is: 383,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,059 : 263,380.50 = 263,380.50 : x
  2. Step 2: Convert to fraction form
    181,059/263,380.50 = 263,380.50/x
  3. Step 3: Cross multiply
    181,059x = 263,380.50 × 263,380.50
  4. Step 4: Simplify right side
    181,059x = 69,369,287,780.25
  5. Step 5: Solve for x
    x = 69,369,287,780.25/181,059
  6. Step 6: Final answer
    x = 383,130.85

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.