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Finding the Third Proportional to 206.30 and 425.67

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Solution

The third proportional to 206.30 and 425.67 is: 878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.30 : 425.67 = 425.67 : x
  2. Step 2: Convert to fraction form
    206.30/425.67 = 425.67/x
  3. Step 3: Cross multiply
    206.30x = 425.67 × 425.67
  4. Step 4: Simplify right side
    206.30x = 181,196.55
  5. Step 5: Solve for x
    x = 181,196.55/206.30
  6. Step 6: Final answer
    x = 878.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.