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Finding the Third Proportional to 216.75 and 418.50

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Solution

The third proportional to 216.75 and 418.50 is: 808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.75 : 418.50 = 418.50 : x
  2. Step 2: Convert to fraction form
    216.75/418.50 = 418.50/x
  3. Step 3: Cross multiply
    216.75x = 418.50 × 418.50
  4. Step 4: Simplify right side
    216.75x = 175,142.25
  5. Step 5: Solve for x
    x = 175,142.25/216.75
  6. Step 6: Final answer
    x = 808.04

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.