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Finding the Third Proportional to 235,517 and 363,860

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Solution

The third proportional to 235,517 and 363,860 is: 562,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,517 : 363,860 = 363,860 : x
  2. Step 2: Convert to fraction form
    235,517/363,860 = 363,860/x
  3. Step 3: Cross multiply
    235,517x = 363,860 × 363,860
  4. Step 4: Simplify right side
    235,517x = 132,394,099,600
  5. Step 5: Solve for x
    x = 132,394,099,600/235,517
  6. Step 6: Final answer
    x = 562,142.43

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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.