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Finding the Third Proportional to 213.84 and 329.81

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Solution

The third proportional to 213.84 and 329.81 is: 508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.84 : 329.81 = 329.81 : x
  2. Step 2: Convert to fraction form
    213.84/329.81 = 329.81/x
  3. Step 3: Cross multiply
    213.84x = 329.81 × 329.81
  4. Step 4: Simplify right side
    213.84x = 108,776.29
  5. Step 5: Solve for x
    x = 108,776.29/213.84
  6. Step 6: Final answer
    x = 508.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.