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Finding the Third Proportional to 112,864 and 241,276

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Solution

The third proportional to 112,864 and 241,276 is: 515,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,864 : 241,276 = 241,276 : x
  2. Step 2: Convert to fraction form
    112,864/241,276 = 241,276/x
  3. Step 3: Cross multiply
    112,864x = 241,276 × 241,276
  4. Step 4: Simplify right side
    112,864x = 58,214,108,176
  5. Step 5: Solve for x
    x = 58,214,108,176/112,864
  6. Step 6: Final answer
    x = 515,789.87

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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.