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Finding the Third Proportional to 112,879 and 241,310

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Solution

The third proportional to 112,879 and 241,310 is: 515,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,879 : 241,310 = 241,310 : x
  2. Step 2: Convert to fraction form
    112,879/241,310 = 241,310/x
  3. Step 3: Cross multiply
    112,879x = 241,310 × 241,310
  4. Step 4: Simplify right side
    112,879x = 58,230,516,100
  5. Step 5: Solve for x
    x = 58,230,516,100/112,879
  6. Step 6: Final answer
    x = 515,866.69

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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.