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Finding the Third Proportional to 168,866 and 365,842

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Solution

The third proportional to 168,866 and 365,842 is: 792,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,866 : 365,842 = 365,842 : x
  2. Step 2: Convert to fraction form
    168,866/365,842 = 365,842/x
  3. Step 3: Cross multiply
    168,866x = 365,842 × 365,842
  4. Step 4: Simplify right side
    168,866x = 133,840,368,964
  5. Step 5: Solve for x
    x = 133,840,368,964/168,866
  6. Step 6: Final answer
    x = 792,583.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.