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Finding the Third Proportional to 225,384 and 338,976

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Solution

The third proportional to 225,384 and 338,976 is: 509,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,384 : 338,976 = 338,976 : x
  2. Step 2: Convert to fraction form
    225,384/338,976 = 338,976/x
  3. Step 3: Cross multiply
    225,384x = 338,976 × 338,976
  4. Step 4: Simplify right side
    225,384x = 114,904,728,576
  5. Step 5: Solve for x
    x = 114,904,728,576/225,384
  6. Step 6: Final answer
    x = 509,817.59

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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.