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Finding the Third Proportional to 323.86 and 462.80

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Solution

The third proportional to 323.86 and 462.80 is: 661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.86 : 462.80 = 462.80 : x
  2. Step 2: Convert to fraction form
    323.86/462.80 = 462.80/x
  3. Step 3: Cross multiply
    323.86x = 462.80 × 462.80
  4. Step 4: Simplify right side
    323.86x = 214,180.95
  5. Step 5: Solve for x
    x = 214,180.95/323.86
  6. Step 6: Final answer
    x = 661.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.