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Finding the Third Proportional to 116,923 and 252,529

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Solution

The third proportional to 116,923 and 252,529 is: 545,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,923 : 252,529 = 252,529 : x
  2. Step 2: Convert to fraction form
    116,923/252,529 = 252,529/x
  3. Step 3: Cross multiply
    116,923x = 252,529 × 252,529
  4. Step 4: Simplify right side
    116,923x = 63,770,895,841
  5. Step 5: Solve for x
    x = 63,770,895,841/116,923
  6. Step 6: Final answer
    x = 545,409.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.