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Finding the Third Proportional to 112,208 and 241,912

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Solution

The third proportional to 112,208 and 241,912 is: 521,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,208 : 241,912 = 241,912 : x
  2. Step 2: Convert to fraction form
    112,208/241,912 = 241,912/x
  3. Step 3: Cross multiply
    112,208x = 241,912 × 241,912
  4. Step 4: Simplify right side
    112,208x = 58,521,415,744
  5. Step 5: Solve for x
    x = 58,521,415,744/112,208
  6. Step 6: Final answer
    x = 521,544.06

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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.