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Finding the Third Proportional to 213 and 338.06

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Solution

The third proportional to 213 and 338.06 is: 536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 338.06 = 338.06 : x
  2. Step 2: Convert to fraction form
    213/338.06 = 338.06/x
  3. Step 3: Cross multiply
    213x = 338.06 × 338.06
  4. Step 4: Simplify right side
    213x = 114,286.25
  5. Step 5: Solve for x
    x = 114,286.25/213
  6. Step 6: Final answer
    x = 536.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.