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Finding the Third Proportional to 256 and 326.50

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Solution

The third proportional to 256 and 326.50 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 326.50 = 326.50 : x
  2. Step 2: Convert to fraction form
    256/326.50 = 326.50/x
  3. Step 3: Cross multiply
    256x = 326.50 × 326.50
  4. Step 4: Simplify right side
    256x = 106,602.25
  5. Step 5: Solve for x
    x = 106,602.25/256
  6. Step 6: Final answer
    x = 416.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.