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Finding the Third Proportional to 301.38 and 466.54

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Solution

The third proportional to 301.38 and 466.54 is: 722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.38 : 466.54 = 466.54 : x
  2. Step 2: Convert to fraction form
    301.38/466.54 = 466.54/x
  3. Step 3: Cross multiply
    301.38x = 466.54 × 466.54
  4. Step 4: Simplify right side
    301.38x = 217,660.52
  5. Step 5: Solve for x
    x = 217,660.52/301.38
  6. Step 6: Final answer
    x = 722.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.