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Finding the Third Proportional to 241,418 and 367,311

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Solution

The third proportional to 241,418 and 367,311 is: 558,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,418 : 367,311 = 367,311 : x
  2. Step 2: Convert to fraction form
    241,418/367,311 = 367,311/x
  3. Step 3: Cross multiply
    241,418x = 367,311 × 367,311
  4. Step 4: Simplify right side
    241,418x = 134,917,370,721
  5. Step 5: Solve for x
    x = 134,917,370,721/241,418
  6. Step 6: Final answer
    x = 558,853.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.