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Finding the Third Proportional to 202,538 and 443,260

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Solution

The third proportional to 202,538 and 443,260 is: 970,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538 : 443,260 = 443,260 : x
  2. Step 2: Convert to fraction form
    202,538/443,260 = 443,260/x
  3. Step 3: Cross multiply
    202,538x = 443,260 × 443,260
  4. Step 4: Simplify right side
    202,538x = 196,479,427,600
  5. Step 5: Solve for x
    x = 196,479,427,600/202,538
  6. Step 6: Final answer
    x = 970,086.74

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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.