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Finding the Third Proportional to 192.75 and 304.25

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Solution

The third proportional to 192.75 and 304.25 is: 480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.75 : 304.25 = 304.25 : x
  2. Step 2: Convert to fraction form
    192.75/304.25 = 304.25/x
  3. Step 3: Cross multiply
    192.75x = 304.25 × 304.25
  4. Step 4: Simplify right side
    192.75x = 92,568.06
  5. Step 5: Solve for x
    x = 92,568.06/192.75
  6. Step 6: Final answer
    x = 480.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.