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Finding the Third Proportional to 164.94 and 356.31

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Solution

The third proportional to 164.94 and 356.31 is: 769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.94 : 356.31 = 356.31 : x
  2. Step 2: Convert to fraction form
    164.94/356.31 = 356.31/x
  3. Step 3: Cross multiply
    164.94x = 356.31 × 356.31
  4. Step 4: Simplify right side
    164.94x = 126,958.60
  5. Step 5: Solve for x
    x = 126,958.60/164.94
  6. Step 6: Final answer
    x = 769.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.