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Finding the Third Proportional to 241,682 and 367,643

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Solution

The third proportional to 241,682 and 367,643 is: 559,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,682 : 367,643 = 367,643 : x
  2. Step 2: Convert to fraction form
    241,682/367,643 = 367,643/x
  3. Step 3: Cross multiply
    241,682x = 367,643 × 367,643
  4. Step 4: Simplify right side
    241,682x = 135,161,375,449
  5. Step 5: Solve for x
    x = 135,161,375,449/241,682
  6. Step 6: Final answer
    x = 559,252.97

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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.