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Finding the Third Proportional to 226,698 and 333,132

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Solution

The third proportional to 226,698 and 333,132 is: 489,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,698 : 333,132 = 333,132 : x
  2. Step 2: Convert to fraction form
    226,698/333,132 = 333,132/x
  3. Step 3: Cross multiply
    226,698x = 333,132 × 333,132
  4. Step 4: Simplify right side
    226,698x = 110,976,929,424
  5. Step 5: Solve for x
    x = 110,976,929,424/226,698
  6. Step 6: Final answer
    x = 489,536.43

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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.