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Finding the Third Proportional to 161,147 and 347,917

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Solution

The third proportional to 161,147 and 347,917 is: 751,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,147 : 347,917 = 347,917 : x
  2. Step 2: Convert to fraction form
    161,147/347,917 = 347,917/x
  3. Step 3: Cross multiply
    161,147x = 347,917 × 347,917
  4. Step 4: Simplify right side
    161,147x = 121,046,238,889
  5. Step 5: Solve for x
    x = 121,046,238,889/161,147
  6. Step 6: Final answer
    x = 751,154.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.