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Finding the Third Proportional to 161,486 and 350,962

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Solution

The third proportional to 161,486 and 350,962 is: 762,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,486 : 350,962 = 350,962 : x
  2. Step 2: Convert to fraction form
    161,486/350,962 = 350,962/x
  3. Step 3: Cross multiply
    161,486x = 350,962 × 350,962
  4. Step 4: Simplify right side
    161,486x = 123,174,325,444
  5. Step 5: Solve for x
    x = 123,174,325,444/161,486
  6. Step 6: Final answer
    x = 762,755.44

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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.