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Finding the Third Proportional to 236,326 and 363,249

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Solution

The third proportional to 236,326 and 363,249 is: 558,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,326 : 363,249 = 363,249 : x
  2. Step 2: Convert to fraction form
    236,326/363,249 = 363,249/x
  3. Step 3: Cross multiply
    236,326x = 363,249 × 363,249
  4. Step 4: Simplify right side
    236,326x = 131,949,836,001
  5. Step 5: Solve for x
    x = 131,949,836,001/236,326
  6. Step 6: Final answer
    x = 558,338.21

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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.