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Finding the Third Proportional to 159,474 and 343,524

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Solution

The third proportional to 159,474 and 343,524 is: 739,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,474 : 343,524 = 343,524 : x
  2. Step 2: Convert to fraction form
    159,474/343,524 = 343,524/x
  3. Step 3: Cross multiply
    159,474x = 343,524 × 343,524
  4. Step 4: Simplify right side
    159,474x = 118,008,738,576
  5. Step 5: Solve for x
    x = 118,008,738,576/159,474
  6. Step 6: Final answer
    x = 739,987.32

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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.