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Finding the Third Proportional to 200.11 and 304.28

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Solution

The third proportional to 200.11 and 304.28 is: 462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.11 : 304.28 = 304.28 : x
  2. Step 2: Convert to fraction form
    200.11/304.28 = 304.28/x
  3. Step 3: Cross multiply
    200.11x = 304.28 × 304.28
  4. Step 4: Simplify right side
    200.11x = 92,584.70
  5. Step 5: Solve for x
    x = 92,584.70/200.11
  6. Step 6: Final answer
    x = 462.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.