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Finding the Third Proportional to 228,162 and 302,796

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Solution

The third proportional to 228,162 and 302,796 is: 401,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,162 : 302,796 = 302,796 : x
  2. Step 2: Convert to fraction form
    228,162/302,796 = 302,796/x
  3. Step 3: Cross multiply
    228,162x = 302,796 × 302,796
  4. Step 4: Simplify right side
    228,162x = 91,685,417,616
  5. Step 5: Solve for x
    x = 91,685,417,616/228,162
  6. Step 6: Final answer
    x = 401,843.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.