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Finding the Third Proportional to 224 and 284.50

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Solution

The third proportional to 224 and 284.50 is: 361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 284.50 = 284.50 : x
  2. Step 2: Convert to fraction form
    224/284.50 = 284.50/x
  3. Step 3: Cross multiply
    224x = 284.50 × 284.50
  4. Step 4: Simplify right side
    224x = 80,940.25
  5. Step 5: Solve for x
    x = 80,940.25/224
  6. Step 6: Final answer
    x = 361.34

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.