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Finding the Third Proportional to 306.23 and 667.55

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Solution

The third proportional to 306.23 and 667.55 is: 1,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.23 : 667.55 = 667.55 : x
  2. Step 2: Convert to fraction form
    306.23/667.55 = 667.55/x
  3. Step 3: Cross multiply
    306.23x = 667.55 × 667.55
  4. Step 4: Simplify right side
    306.23x = 445,618.83
  5. Step 5: Solve for x
    x = 445,618.83/306.23
  6. Step 6: Final answer
    x = 1,455.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.