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Finding the Third Proportional to 161,661 and 351,302

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Solution

The third proportional to 161,661 and 351,302 is: 763,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,661 : 351,302 = 351,302 : x
  2. Step 2: Convert to fraction form
    161,661/351,302 = 351,302/x
  3. Step 3: Cross multiply
    161,661x = 351,302 × 351,302
  4. Step 4: Simplify right side
    161,661x = 123,413,095,204
  5. Step 5: Solve for x
    x = 123,413,095,204/161,661
  6. Step 6: Final answer
    x = 763,406.73

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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.