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Finding the Third Proportional to 236,986 and 363,399

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Solution

The third proportional to 236,986 and 363,399 is: 557,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,986 : 363,399 = 363,399 : x
  2. Step 2: Convert to fraction form
    236,986/363,399 = 363,399/x
  3. Step 3: Cross multiply
    236,986x = 363,399 × 363,399
  4. Step 4: Simplify right side
    236,986x = 132,058,833,201
  5. Step 5: Solve for x
    x = 132,058,833,201/236,986
  6. Step 6: Final answer
    x = 557,243.18

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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.