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Finding the Third Proportional to 164.21 and 383.96

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Solution

The third proportional to 164.21 and 383.96 is: 897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.21 : 383.96 = 383.96 : x
  2. Step 2: Convert to fraction form
    164.21/383.96 = 383.96/x
  3. Step 3: Cross multiply
    164.21x = 383.96 × 383.96
  4. Step 4: Simplify right side
    164.21x = 147,424.50
  5. Step 5: Solve for x
    x = 147,424.50/164.21
  6. Step 6: Final answer
    x = 897.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.