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Finding the Third Proportional to 168,614 and 352,816

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Solution

The third proportional to 168,614 and 352,816 is: 738,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,614 : 352,816 = 352,816 : x
  2. Step 2: Convert to fraction form
    168,614/352,816 = 352,816/x
  3. Step 3: Cross multiply
    168,614x = 352,816 × 352,816
  4. Step 4: Simplify right side
    168,614x = 124,479,129,856
  5. Step 5: Solve for x
    x = 124,479,129,856/168,614
  6. Step 6: Final answer
    x = 738,249.08

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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.