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Finding the Third Proportional to 115,905 and 244,472

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Solution

The third proportional to 115,905 and 244,472 is: 515,651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,905 : 244,472 = 244,472 : x
  2. Step 2: Convert to fraction form
    115,905/244,472 = 244,472/x
  3. Step 3: Cross multiply
    115,905x = 244,472 × 244,472
  4. Step 4: Simplify right side
    115,905x = 59,766,558,784
  5. Step 5: Solve for x
    x = 59,766,558,784/115,905
  6. Step 6: Final answer
    x = 515,651.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.