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Finding the Third Proportional to 159,995 and 342,759

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Solution

The third proportional to 159,995 and 342,759 is: 734,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,995 : 342,759 = 342,759 : x
  2. Step 2: Convert to fraction form
    159,995/342,759 = 342,759/x
  3. Step 3: Cross multiply
    159,995x = 342,759 × 342,759
  4. Step 4: Simplify right side
    159,995x = 117,483,732,081
  5. Step 5: Solve for x
    x = 117,483,732,081/159,995
  6. Step 6: Final answer
    x = 734,296.27

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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.