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Finding the Third Proportional to 233,760 and 330,768

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Solution

The third proportional to 233,760 and 330,768 is: 468,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,760 : 330,768 = 330,768 : x
  2. Step 2: Convert to fraction form
    233,760/330,768 = 330,768/x
  3. Step 3: Cross multiply
    233,760x = 330,768 × 330,768
  4. Step 4: Simplify right side
    233,760x = 109,407,469,824
  5. Step 5: Solve for x
    x = 109,407,469,824/233,760
  6. Step 6: Final answer
    x = 468,033.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.