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Finding the Third Proportional to 241,149 and 515,512

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Solution

The third proportional to 241,149 and 515,512 is: 1,102,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,149 : 515,512 = 515,512 : x
  2. Step 2: Convert to fraction form
    241,149/515,512 = 515,512/x
  3. Step 3: Cross multiply
    241,149x = 515,512 × 515,512
  4. Step 4: Simplify right side
    241,149x = 265,752,622,144
  5. Step 5: Solve for x
    x = 265,752,622,144/241,149
  6. Step 6: Final answer
    x = 1,102,026.64

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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.