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Finding the Third Proportional to 226,714 and 333,159

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Solution

The third proportional to 226,714 and 333,159 is: 489,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,714 : 333,159 = 333,159 : x
  2. Step 2: Convert to fraction form
    226,714/333,159 = 333,159/x
  3. Step 3: Cross multiply
    226,714x = 333,159 × 333,159
  4. Step 4: Simplify right side
    226,714x = 110,994,919,281
  5. Step 5: Solve for x
    x = 110,994,919,281/226,714
  6. Step 6: Final answer
    x = 489,581.23

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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.