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Finding the Third Proportional to 159,993 and 343,708

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Solution

The third proportional to 159,993 and 343,708 is: 738,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,993 : 343,708 = 343,708 : x
  2. Step 2: Convert to fraction form
    159,993/343,708 = 343,708/x
  3. Step 3: Cross multiply
    159,993x = 343,708 × 343,708
  4. Step 4: Simplify right side
    159,993x = 118,135,189,264
  5. Step 5: Solve for x
    x = 118,135,189,264/159,993
  6. Step 6: Final answer
    x = 738,377.24

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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.