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Finding the Third Proportional to 164 and 179.50

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Solution

The third proportional to 164 and 179.50 is: 196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 179.50 = 179.50 : x
  2. Step 2: Convert to fraction form
    164/179.50 = 179.50/x
  3. Step 3: Cross multiply
    164x = 179.50 × 179.50
  4. Step 4: Simplify right side
    164x = 32,220.25
  5. Step 5: Solve for x
    x = 32,220.25/164
  6. Step 6: Final answer
    x = 196.46

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.