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Finding the Third Proportional to 213 and 306

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Solution

The third proportional to 213 and 306 is: 439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 306 = 306 : x
  2. Step 2: Convert to fraction form
    213/306 = 306/x
  3. Step 3: Cross multiply
    213x = 306 × 306
  4. Step 4: Simplify right side
    213x = 93,636
  5. Step 5: Solve for x
    x = 93,636/213
  6. Step 6: Final answer
    x = 439.61

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.