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Finding the Third Proportional to 241,231 and 515,660.50

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Solution

The third proportional to 241,231 and 515,660.50 is: 1,102,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,231 : 515,660.50 = 515,660.50 : x
  2. Step 2: Convert to fraction form
    241,231/515,660.50 = 515,660.50/x
  3. Step 3: Cross multiply
    241,231x = 515,660.50 × 515,660.50
  4. Step 4: Simplify right side
    241,231x = 265,905,751,260.25
  5. Step 5: Solve for x
    x = 265,905,751,260.25/241,231
  6. Step 6: Final answer
    x = 1,102,286.82

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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.