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Finding the Third Proportional to 239,514 and 333,021

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Solution

The third proportional to 239,514 and 333,021 is: 463,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,514 : 333,021 = 333,021 : x
  2. Step 2: Convert to fraction form
    239,514/333,021 = 333,021/x
  3. Step 3: Cross multiply
    239,514x = 333,021 × 333,021
  4. Step 4: Simplify right side
    239,514x = 110,902,986,441
  5. Step 5: Solve for x
    x = 110,902,986,441/239,514
  6. Step 6: Final answer
    x = 463,033.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.