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Finding the Third Proportional to 164.53 and 256.92

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Solution

The third proportional to 164.53 and 256.92 is: 401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 256.92 = 256.92 : x
  2. Step 2: Convert to fraction form
    164.53/256.92 = 256.92/x
  3. Step 3: Cross multiply
    164.53x = 256.92 × 256.92
  4. Step 4: Simplify right side
    164.53x = 66,008.85
  5. Step 5: Solve for x
    x = 66,008.85/164.53
  6. Step 6: Final answer
    x = 401.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.