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Finding the Third Proportional to 668.49 and 1,181.07

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Solution

The third proportional to 668.49 and 1,181.07 is: 2,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.49 : 1,181.07 = 1,181.07 : x
  2. Step 2: Convert to fraction form
    668.49/1,181.07 = 1,181.07/x
  3. Step 3: Cross multiply
    668.49x = 1,181.07 × 1,181.07
  4. Step 4: Simplify right side
    668.49x = 1,394,915.55
  5. Step 5: Solve for x
    x = 1,394,915.55/668.49
  6. Step 6: Final answer
    x = 2,086.67

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.