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Finding the Third Proportional to 168,616 and 352,820

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Solution

The third proportional to 168,616 and 352,820 is: 738,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,616 : 352,820 = 352,820 : x
  2. Step 2: Convert to fraction form
    168,616/352,820 = 352,820/x
  3. Step 3: Cross multiply
    168,616x = 352,820 × 352,820
  4. Step 4: Simplify right side
    168,616x = 124,481,952,400
  5. Step 5: Solve for x
    x = 124,481,952,400/168,616
  6. Step 6: Final answer
    x = 738,257.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.