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Finding the Third Proportional to 192.75 and 278.63

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Solution

The third proportional to 192.75 and 278.63 is: 402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.75 : 278.63 = 278.63 : x
  2. Step 2: Convert to fraction form
    192.75/278.63 = 278.63/x
  3. Step 3: Cross multiply
    192.75x = 278.63 × 278.63
  4. Step 4: Simplify right side
    192.75x = 77,631.89
  5. Step 5: Solve for x
    x = 77,631.89/192.75
  6. Step 6: Final answer
    x = 402.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.