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Finding the Third Proportional to 140.94 and 228.47

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Solution

The third proportional to 140.94 and 228.47 is: 370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.94 : 228.47 = 228.47 : x
  2. Step 2: Convert to fraction form
    140.94/228.47 = 228.47/x
  3. Step 3: Cross multiply
    140.94x = 228.47 × 228.47
  4. Step 4: Simplify right side
    140.94x = 52,197.97
  5. Step 5: Solve for x
    x = 52,197.97/140.94
  6. Step 6: Final answer
    x = 370.36

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.