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Finding the Third Proportional to 114,014 and 263,916

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Solution

The third proportional to 114,014 and 263,916 is: 610,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,014 : 263,916 = 263,916 : x
  2. Step 2: Convert to fraction form
    114,014/263,916 = 263,916/x
  3. Step 3: Cross multiply
    114,014x = 263,916 × 263,916
  4. Step 4: Simplify right side
    114,014x = 69,651,655,056
  5. Step 5: Solve for x
    x = 69,651,655,056/114,014
  6. Step 6: Final answer
    x = 610,904.41

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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.