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Finding the Third Proportional to 111,198 and 163,856

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Solution

The third proportional to 111,198 and 163,856 is: 241,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,198 : 163,856 = 163,856 : x
  2. Step 2: Convert to fraction form
    111,198/163,856 = 163,856/x
  3. Step 3: Cross multiply
    111,198x = 163,856 × 163,856
  4. Step 4: Simplify right side
    111,198x = 26,848,788,736
  5. Step 5: Solve for x
    x = 26,848,788,736/111,198
  6. Step 6: Final answer
    x = 241,450.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.