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Finding the Third Proportional to 161,100 and 347,099

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Solution

The third proportional to 161,100 and 347,099 is: 747,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,100 : 347,099 = 347,099 : x
  2. Step 2: Convert to fraction form
    161,100/347,099 = 347,099/x
  3. Step 3: Cross multiply
    161,100x = 347,099 × 347,099
  4. Step 4: Simplify right side
    161,100x = 120,477,715,801
  5. Step 5: Solve for x
    x = 120,477,715,801/161,100
  6. Step 6: Final answer
    x = 747,844.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.