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Finding the Third Proportional to 108,305 and 167,375

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Solution

The third proportional to 108,305 and 167,375 is: 258,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,305 : 167,375 = 167,375 : x
  2. Step 2: Convert to fraction form
    108,305/167,375 = 167,375/x
  3. Step 3: Cross multiply
    108,305x = 167,375 × 167,375
  4. Step 4: Simplify right side
    108,305x = 28,014,390,625
  5. Step 5: Solve for x
    x = 28,014,390,625/108,305
  6. Step 6: Final answer
    x = 258,662.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.