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Finding the Third Proportional to 168,099 and 359,983

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Solution

The third proportional to 168,099 and 359,983 is: 770,901.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,099 : 359,983 = 359,983 : x
  2. Step 2: Convert to fraction form
    168,099/359,983 = 359,983/x
  3. Step 3: Cross multiply
    168,099x = 359,983 × 359,983
  4. Step 4: Simplify right side
    168,099x = 129,587,760,289
  5. Step 5: Solve for x
    x = 129,587,760,289/168,099
  6. Step 6: Final answer
    x = 770,901.43

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