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Finding the Third Proportional to 164.50 and 262.75

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Solution

The third proportional to 164.50 and 262.75 is: 419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.50 : 262.75 = 262.75 : x
  2. Step 2: Convert to fraction form
    164.50/262.75 = 262.75/x
  3. Step 3: Cross multiply
    164.50x = 262.75 × 262.75
  4. Step 4: Simplify right side
    164.50x = 69,037.56
  5. Step 5: Solve for x
    x = 69,037.56/164.50
  6. Step 6: Final answer
    x = 419.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.