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Finding the Third Proportional to 213 and 327.75

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Solution

The third proportional to 213 and 327.75 is: 504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 327.75 = 327.75 : x
  2. Step 2: Convert to fraction form
    213/327.75 = 327.75/x
  3. Step 3: Cross multiply
    213x = 327.75 × 327.75
  4. Step 4: Simplify right side
    213x = 107,420.06
  5. Step 5: Solve for x
    x = 107,420.06/213
  6. Step 6: Final answer
    x = 504.32

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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.