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Finding the Third Proportional to 114,520 and 244,256

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Solution

The third proportional to 114,520 and 244,256 is: 520,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,520 : 244,256 = 244,256 : x
  2. Step 2: Convert to fraction form
    114,520/244,256 = 244,256/x
  3. Step 3: Cross multiply
    114,520x = 244,256 × 244,256
  4. Step 4: Simplify right side
    114,520x = 59,660,993,536
  5. Step 5: Solve for x
    x = 59,660,993,536/114,520
  6. Step 6: Final answer
    x = 520,965.71

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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.