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Finding the Third Proportional to 159,067 and 342,510

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Solution

The third proportional to 159,067 and 342,510 is: 737,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,067 : 342,510 = 342,510 : x
  2. Step 2: Convert to fraction form
    159,067/342,510 = 342,510/x
  3. Step 3: Cross multiply
    159,067x = 342,510 × 342,510
  4. Step 4: Simplify right side
    159,067x = 117,313,100,100
  5. Step 5: Solve for x
    x = 117,313,100,100/159,067
  6. Step 6: Final answer
    x = 737,507.47

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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.