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Finding the Third Proportional to 160,809 and 342,993

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Solution

The third proportional to 160,809 and 342,993 is: 731,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,809 : 342,993 = 342,993 : x
  2. Step 2: Convert to fraction form
    160,809/342,993 = 342,993/x
  3. Step 3: Cross multiply
    160,809x = 342,993 × 342,993
  4. Step 4: Simplify right side
    160,809x = 117,644,198,049
  5. Step 5: Solve for x
    x = 117,644,198,049/160,809
  6. Step 6: Final answer
    x = 731,577.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.