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Finding the Third Proportional to 202,471.21 and 443,078.23

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Solution

The third proportional to 202,471.21 and 443,078.23 is: 969,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,471.21 : 443,078.23 = 443,078.23 : x
  2. Step 2: Convert to fraction form
    202,471.21/443,078.23 = 443,078.23/x
  3. Step 3: Cross multiply
    202,471.21x = 443,078.23 × 443,078.23
  4. Step 4: Simplify right side
    202,471.21x = 196,318,314,853.77
  5. Step 5: Solve for x
    x = 196,318,314,853.77/202,471.21
  6. Step 6: Final answer
    x = 969,611.03

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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.