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Finding the Third Proportional to 344.25 and 463.22

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Solution

The third proportional to 344.25 and 463.22 is: 623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.25 : 463.22 = 463.22 : x
  2. Step 2: Convert to fraction form
    344.25/463.22 = 463.22/x
  3. Step 3: Cross multiply
    344.25x = 463.22 × 463.22
  4. Step 4: Simplify right side
    344.25x = 214,571.61
  5. Step 5: Solve for x
    x = 214,571.61/344.25
  6. Step 6: Final answer
    x = 623.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.