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Finding the Third Proportional to 114,504 and 244,227

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Solution

The third proportional to 114,504 and 244,227 is: 520,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,504 : 244,227 = 244,227 : x
  2. Step 2: Convert to fraction form
    114,504/244,227 = 244,227/x
  3. Step 3: Cross multiply
    114,504x = 244,227 × 244,227
  4. Step 4: Simplify right side
    114,504x = 59,646,827,529
  5. Step 5: Solve for x
    x = 59,646,827,529/114,504
  6. Step 6: Final answer
    x = 520,914.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.