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Finding the Third Proportional to 213 and 334

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Solution

The third proportional to 213 and 334 is: 523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 334 = 334 : x
  2. Step 2: Convert to fraction form
    213/334 = 334/x
  3. Step 3: Cross multiply
    213x = 334 × 334
  4. Step 4: Simplify right side
    213x = 111,556
  5. Step 5: Solve for x
    x = 111,556/213
  6. Step 6: Final answer
    x = 523.74

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.