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Finding the Third Proportional to 205.03 and 304.34

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Solution

The third proportional to 205.03 and 304.34 is: 451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 304.34 = 304.34 : x
  2. Step 2: Convert to fraction form
    205.03/304.34 = 304.34/x
  3. Step 3: Cross multiply
    205.03x = 304.34 × 304.34
  4. Step 4: Simplify right side
    205.03x = 92,624.82
  5. Step 5: Solve for x
    x = 92,624.82/205.03
  6. Step 6: Final answer
    x = 451.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.