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Finding the Third Proportional to 114,013 and 263,912

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Solution

The third proportional to 114,013 and 263,912 is: 610,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,013 : 263,912 = 263,912 : x
  2. Step 2: Convert to fraction form
    114,013/263,912 = 263,912/x
  3. Step 3: Cross multiply
    114,013x = 263,912 × 263,912
  4. Step 4: Simplify right side
    114,013x = 69,649,543,744
  5. Step 5: Solve for x
    x = 69,649,543,744/114,013
  6. Step 6: Final answer
    x = 610,891.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.