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Finding the Third Proportional to 159,993 and 342,755

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Solution

The third proportional to 159,993 and 342,755 is: 734,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,993 : 342,755 = 342,755 : x
  2. Step 2: Convert to fraction form
    159,993/342,755 = 342,755/x
  3. Step 3: Cross multiply
    159,993x = 342,755 × 342,755
  4. Step 4: Simplify right side
    159,993x = 117,480,990,025
  5. Step 5: Solve for x
    x = 117,480,990,025/159,993
  6. Step 6: Final answer
    x = 734,288.31

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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.