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Finding the Third Proportional to 236,982 and 363,393

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Solution

The third proportional to 236,982 and 363,393 is: 557,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,982 : 363,393 = 363,393 : x
  2. Step 2: Convert to fraction form
    236,982/363,393 = 363,393/x
  3. Step 3: Cross multiply
    236,982x = 363,393 × 363,393
  4. Step 4: Simplify right side
    236,982x = 132,054,472,449
  5. Step 5: Solve for x
    x = 132,054,472,449/236,982
  6. Step 6: Final answer
    x = 557,234.19

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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.