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Finding the Third Proportional to 115,924 and 241,856

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Solution

The third proportional to 115,924 and 241,856 is: 504,592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,924 : 241,856 = 241,856 : x
  2. Step 2: Convert to fraction form
    115,924/241,856 = 241,856/x
  3. Step 3: Cross multiply
    115,924x = 241,856 × 241,856
  4. Step 4: Simplify right side
    115,924x = 58,494,324,736
  5. Step 5: Solve for x
    x = 58,494,324,736/115,924
  6. Step 6: Final answer
    x = 504,592.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.