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Finding the Third Proportional to 156,841.31 and 333,912.38

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Solution

The third proportional to 156,841.31 and 333,912.38 is: 710,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,841.31 : 333,912.38 = 333,912.38 : x
  2. Step 2: Convert to fraction form
    156,841.31/333,912.38 = 333,912.38/x
  3. Step 3: Cross multiply
    156,841.31x = 333,912.38 × 333,912.38
  4. Step 4: Simplify right side
    156,841.31x = 111,497,474,178.14
  5. Step 5: Solve for x
    x = 111,497,474,178.14/156,841.31
  6. Step 6: Final answer
    x = 710,893.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.