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Finding the Third Proportional to 178,631.97 and 383,166.19

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Solution

The third proportional to 178,631.97 and 383,166.19 is: 821,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,631.97 : 383,166.19 = 383,166.19 : x
  2. Step 2: Convert to fraction form
    178,631.97/383,166.19 = 383,166.19/x
  3. Step 3: Cross multiply
    178,631.97x = 383,166.19 × 383,166.19
  4. Step 4: Simplify right side
    178,631.97x = 146,816,327,243.29
  5. Step 5: Solve for x
    x = 146,816,327,243.29/178,631.97
  6. Step 6: Final answer
    x = 821,892.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.