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Finding the Third Proportional to 206.40 and 302.27

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Solution

The third proportional to 206.40 and 302.27 is: 442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.40 : 302.27 = 302.27 : x
  2. Step 2: Convert to fraction form
    206.40/302.27 = 302.27/x
  3. Step 3: Cross multiply
    206.40x = 302.27 × 302.27
  4. Step 4: Simplify right side
    206.40x = 91,369.23
  5. Step 5: Solve for x
    x = 91,369.23/206.40
  6. Step 6: Final answer
    x = 442.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.