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Finding the Third Proportional to 112,828 and 241,208

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Solution

The third proportional to 112,828 and 241,208 is: 515,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,828 : 241,208 = 241,208 : x
  2. Step 2: Convert to fraction form
    112,828/241,208 = 241,208/x
  3. Step 3: Cross multiply
    112,828x = 241,208 × 241,208
  4. Step 4: Simplify right side
    112,828x = 58,181,299,264
  5. Step 5: Solve for x
    x = 58,181,299,264/112,828
  6. Step 6: Final answer
    x = 515,663.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.