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Finding the Third Proportional to 159,367 and 347,713

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Solution

The third proportional to 159,367 and 347,713 is: 758,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,367 : 347,713 = 347,713 : x
  2. Step 2: Convert to fraction form
    159,367/347,713 = 347,713/x
  3. Step 3: Cross multiply
    159,367x = 347,713 × 347,713
  4. Step 4: Simplify right side
    159,367x = 120,904,330,369
  5. Step 5: Solve for x
    x = 120,904,330,369/159,367
  6. Step 6: Final answer
    x = 758,653.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.