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Finding the Third Proportional to 213.19 and 334.97

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Solution

The third proportional to 213.19 and 334.97 is: 526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.19 : 334.97 = 334.97 : x
  2. Step 2: Convert to fraction form
    213.19/334.97 = 334.97/x
  3. Step 3: Cross multiply
    213.19x = 334.97 × 334.97
  4. Step 4: Simplify right side
    213.19x = 112,204.06
  5. Step 5: Solve for x
    x = 112,204.06/213.19
  6. Step 6: Final answer
    x = 526.32

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Why These Related Problems?

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