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Finding the Third Proportional to 343.41 and 467.86

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Solution

The third proportional to 343.41 and 467.86 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.41 : 467.86 = 467.86 : x
  2. Step 2: Convert to fraction form
    343.41/467.86 = 467.86/x
  3. Step 3: Cross multiply
    343.41x = 467.86 × 467.86
  4. Step 4: Simplify right side
    343.41x = 218,892.39
  5. Step 5: Solve for x
    x = 218,892.39/343.41
  6. Step 6: Final answer
    x = 637.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.