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Finding the Third Proportional to 202,361 and 443,400

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Solution

The third proportional to 202,361 and 443,400 is: 971,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,361 : 443,400 = 443,400 : x
  2. Step 2: Convert to fraction form
    202,361/443,400 = 443,400/x
  3. Step 3: Cross multiply
    202,361x = 443,400 × 443,400
  4. Step 4: Simplify right side
    202,361x = 196,603,560,000
  5. Step 5: Solve for x
    x = 196,603,560,000/202,361
  6. Step 6: Final answer
    x = 971,548.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.