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Finding the Third Proportional to 168,630 and 352,842

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Solution

The third proportional to 168,630 and 352,842 is: 738,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,630 : 352,842 = 352,842 : x
  2. Step 2: Convert to fraction form
    168,630/352,842 = 352,842/x
  3. Step 3: Cross multiply
    168,630x = 352,842 × 352,842
  4. Step 4: Simplify right side
    168,630x = 124,497,476,964
  5. Step 5: Solve for x
    x = 124,497,476,964/168,630
  6. Step 6: Final answer
    x = 738,287.83

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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.