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Finding the Third Proportional to 111,684 and 240,863

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Solution

The third proportional to 111,684 and 240,863 is: 519,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,684 : 240,863 = 240,863 : x
  2. Step 2: Convert to fraction form
    111,684/240,863 = 240,863/x
  3. Step 3: Cross multiply
    111,684x = 240,863 × 240,863
  4. Step 4: Simplify right side
    111,684x = 58,014,984,769
  5. Step 5: Solve for x
    x = 58,014,984,769/111,684
  6. Step 6: Final answer
    x = 519,456.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.