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Finding the Third Proportional to 166.31 and 256.41

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Solution

The third proportional to 166.31 and 256.41 is: 395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.31 : 256.41 = 256.41 : x
  2. Step 2: Convert to fraction form
    166.31/256.41 = 256.41/x
  3. Step 3: Cross multiply
    166.31x = 256.41 × 256.41
  4. Step 4: Simplify right side
    166.31x = 65,744.17
  5. Step 5: Solve for x
    x = 65,744.17/166.31
  6. Step 6: Final answer
    x = 395.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.