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Finding the Third Proportional to 167,366 and 256,393

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Solution

The third proportional to 167,366 and 256,393 is: 392,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,366 : 256,393 = 256,393 : x
  2. Step 2: Convert to fraction form
    167,366/256,393 = 256,393/x
  3. Step 3: Cross multiply
    167,366x = 256,393 × 256,393
  4. Step 4: Simplify right side
    167,366x = 65,737,370,449
  5. Step 5: Solve for x
    x = 65,737,370,449/167,366
  6. Step 6: Final answer
    x = 392,776.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.