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Finding the Third Proportional to 222,336 and 332,424

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Solution

The third proportional to 222,336 and 332,424 is: 497,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,336 : 332,424 = 332,424 : x
  2. Step 2: Convert to fraction form
    222,336/332,424 = 332,424/x
  3. Step 3: Cross multiply
    222,336x = 332,424 × 332,424
  4. Step 4: Simplify right side
    222,336x = 110,505,715,776
  5. Step 5: Solve for x
    x = 110,505,715,776/222,336
  6. Step 6: Final answer
    x = 497,021.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.