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Finding the Third Proportional to 324.84 and 378.56

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Solution

The third proportional to 324.84 and 378.56 is: 441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.84 : 378.56 = 378.56 : x
  2. Step 2: Convert to fraction form
    324.84/378.56 = 378.56/x
  3. Step 3: Cross multiply
    324.84x = 378.56 × 378.56
  4. Step 4: Simplify right side
    324.84x = 143,309.57
  5. Step 5: Solve for x
    x = 143,309.57/324.84
  6. Step 6: Final answer
    x = 441.16

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.