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Finding the Third Proportional to 114,626 and 244,011

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Solution

The third proportional to 114,626 and 244,011 is: 519,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,626 : 244,011 = 244,011 : x
  2. Step 2: Convert to fraction form
    114,626/244,011 = 244,011/x
  3. Step 3: Cross multiply
    114,626x = 244,011 × 244,011
  4. Step 4: Simplify right side
    114,626x = 59,541,368,121
  5. Step 5: Solve for x
    x = 59,541,368,121/114,626
  6. Step 6: Final answer
    x = 519,440.34

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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.