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Finding the Third Proportional to 112,684 and 244,828

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Solution

The third proportional to 112,684 and 244,828 is: 531,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,684 : 244,828 = 244,828 : x
  2. Step 2: Convert to fraction form
    112,684/244,828 = 244,828/x
  3. Step 3: Cross multiply
    112,684x = 244,828 × 244,828
  4. Step 4: Simplify right side
    112,684x = 59,940,749,584
  5. Step 5: Solve for x
    x = 59,940,749,584/112,684
  6. Step 6: Final answer
    x = 531,936.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.