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Finding the Third Proportional to 241,668 and 367,622

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Solution

The third proportional to 241,668 and 367,622 is: 559,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,668 : 367,622 = 367,622 : x
  2. Step 2: Convert to fraction form
    241,668/367,622 = 367,622/x
  3. Step 3: Cross multiply
    241,668x = 367,622 × 367,622
  4. Step 4: Simplify right side
    241,668x = 135,145,934,884
  5. Step 5: Solve for x
    x = 135,145,934,884/241,668
  6. Step 6: Final answer
    x = 559,221.47

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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.