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Finding the Third Proportional to 128.14 and 192.38

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Solution

The third proportional to 128.14 and 192.38 is: 288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.14 : 192.38 = 192.38 : x
  2. Step 2: Convert to fraction form
    128.14/192.38 = 192.38/x
  3. Step 3: Cross multiply
    128.14x = 192.38 × 192.38
  4. Step 4: Simplify right side
    128.14x = 37,008.14
  5. Step 5: Solve for x
    x = 37,008.14/128.14
  6. Step 6: Final answer
    x = 288.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.