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Finding the Third Proportional to 226,826 and 333,668

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Solution

The third proportional to 226,826 and 333,668 is: 490,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,826 : 333,668 = 333,668 : x
  2. Step 2: Convert to fraction form
    226,826/333,668 = 333,668/x
  3. Step 3: Cross multiply
    226,826x = 333,668 × 333,668
  4. Step 4: Simplify right side
    226,826x = 111,334,334,224
  5. Step 5: Solve for x
    x = 111,334,334,224/226,826
  6. Step 6: Final answer
    x = 490,835.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.