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Finding the Third Proportional to 104,488 and 246,616

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Solution

The third proportional to 104,488 and 246,616 is: 582,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,488 : 246,616 = 246,616 : x
  2. Step 2: Convert to fraction form
    104,488/246,616 = 246,616/x
  3. Step 3: Cross multiply
    104,488x = 246,616 × 246,616
  4. Step 4: Simplify right side
    104,488x = 60,819,451,456
  5. Step 5: Solve for x
    x = 60,819,451,456/104,488
  6. Step 6: Final answer
    x = 582,071.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.