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Finding the Third Proportional to 207.25 and 443.60

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Solution

The third proportional to 207.25 and 443.60 is: 949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.25 : 443.60 = 443.60 : x
  2. Step 2: Convert to fraction form
    207.25/443.60 = 443.60/x
  3. Step 3: Cross multiply
    207.25x = 443.60 × 443.60
  4. Step 4: Simplify right side
    207.25x = 196,782.35
  5. Step 5: Solve for x
    x = 196,782.35/207.25
  6. Step 6: Final answer
    x = 949.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.