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Finding the Third Proportional to 192,512 and 296,286

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Solution

The third proportional to 192,512 and 296,286 is: 455,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,512 : 296,286 = 296,286 : x
  2. Step 2: Convert to fraction form
    192,512/296,286 = 296,286/x
  3. Step 3: Cross multiply
    192,512x = 296,286 × 296,286
  4. Step 4: Simplify right side
    192,512x = 87,785,393,796
  5. Step 5: Solve for x
    x = 87,785,393,796/192,512
  6. Step 6: Final answer
    x = 455,999.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.