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Finding the Third Proportional to 201,837 and 274,242

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Solution

The third proportional to 201,837 and 274,242 is: 372,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,837 : 274,242 = 274,242 : x
  2. Step 2: Convert to fraction form
    201,837/274,242 = 274,242/x
  3. Step 3: Cross multiply
    201,837x = 274,242 × 274,242
  4. Step 4: Simplify right side
    201,837x = 75,208,674,564
  5. Step 5: Solve for x
    x = 75,208,674,564/201,837
  6. Step 6: Final answer
    x = 372,620.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.