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Finding the Third Proportional to 224 and 444.25

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Solution

The third proportional to 224 and 444.25 is: 881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 444.25 = 444.25 : x
  2. Step 2: Convert to fraction form
    224/444.25 = 444.25/x
  3. Step 3: Cross multiply
    224x = 444.25 × 444.25
  4. Step 4: Simplify right side
    224x = 197,358.06
  5. Step 5: Solve for x
    x = 197,358.06/224
  6. Step 6: Final answer
    x = 881.06

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.