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Finding the Third Proportional to 161,731.69 and 351,696.94

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Solution

The third proportional to 161,731.69 and 351,696.94 is: 764,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,731.69 : 351,696.94 = 351,696.94 : x
  2. Step 2: Convert to fraction form
    161,731.69/351,696.94 = 351,696.94/x
  3. Step 3: Cross multiply
    161,731.69x = 351,696.94 × 351,696.94
  4. Step 4: Simplify right side
    161,731.69x = 123,690,735,846.88
  5. Step 5: Solve for x
    x = 123,690,735,846.88/161,731.69
  6. Step 6: Final answer
    x = 764,789.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.