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Finding the Third Proportional to 160,110 and 344,962

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Solution

The third proportional to 160,110 and 344,962 is: 743,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,110 : 344,962 = 344,962 : x
  2. Step 2: Convert to fraction form
    160,110/344,962 = 344,962/x
  3. Step 3: Cross multiply
    160,110x = 344,962 × 344,962
  4. Step 4: Simplify right side
    160,110x = 118,998,781,444
  5. Step 5: Solve for x
    x = 118,998,781,444/160,110
  6. Step 6: Final answer
    x = 743,231.41

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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.