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Finding the Third Proportional to 168,093 and 359,971

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Solution

The third proportional to 168,093 and 359,971 is: 770,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,093 : 359,971 = 359,971 : x
  2. Step 2: Convert to fraction form
    168,093/359,971 = 359,971/x
  3. Step 3: Cross multiply
    168,093x = 359,971 × 359,971
  4. Step 4: Simplify right side
    168,093x = 129,579,120,841
  5. Step 5: Solve for x
    x = 129,579,120,841/168,093
  6. Step 6: Final answer
    x = 770,877.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.