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Finding the Third Proportional to 164.94 and 250.84

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Solution

The third proportional to 164.94 and 250.84 is: 381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.94 : 250.84 = 250.84 : x
  2. Step 2: Convert to fraction form
    164.94/250.84 = 250.84/x
  3. Step 3: Cross multiply
    164.94x = 250.84 × 250.84
  4. Step 4: Simplify right side
    164.94x = 62,922.59
  5. Step 5: Solve for x
    x = 62,922.59/164.94
  6. Step 6: Final answer
    x = 381.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.