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Finding the Third Proportional to 156,976 and 339,224

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Solution

The third proportional to 156,976 and 339,224 is: 733,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,976 : 339,224 = 339,224 : x
  2. Step 2: Convert to fraction form
    156,976/339,224 = 339,224/x
  3. Step 3: Cross multiply
    156,976x = 339,224 × 339,224
  4. Step 4: Simplify right side
    156,976x = 115,072,922,176
  5. Step 5: Solve for x
    x = 115,072,922,176/156,976
  6. Step 6: Final answer
    x = 733,060.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.