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Finding the Third Proportional to 114,626 and 244,014

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Solution

The third proportional to 114,626 and 244,014 is: 519,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,626 : 244,014 = 244,014 : x
  2. Step 2: Convert to fraction form
    114,626/244,014 = 244,014/x
  3. Step 3: Cross multiply
    114,626x = 244,014 × 244,014
  4. Step 4: Simplify right side
    114,626x = 59,542,832,196
  5. Step 5: Solve for x
    x = 59,542,832,196/114,626
  6. Step 6: Final answer
    x = 519,453.11

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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.