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Finding the Third Proportional to 213 and 395.25

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Solution

The third proportional to 213 and 395.25 is: 733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 395.25 = 395.25 : x
  2. Step 2: Convert to fraction form
    213/395.25 = 395.25/x
  3. Step 3: Cross multiply
    213x = 395.25 × 395.25
  4. Step 4: Simplify right side
    213x = 156,222.56
  5. Step 5: Solve for x
    x = 156,222.56/213
  6. Step 6: Final answer
    x = 733.44

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.