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Finding the Third Proportional to 202,524 and 443,190

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Solution

The third proportional to 202,524 and 443,190 is: 969,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,524 : 443,190 = 443,190 : x
  2. Step 2: Convert to fraction form
    202,524/443,190 = 443,190/x
  3. Step 3: Cross multiply
    202,524x = 443,190 × 443,190
  4. Step 4: Simplify right side
    202,524x = 196,417,376,100
  5. Step 5: Solve for x
    x = 196,417,376,100/202,524
  6. Step 6: Final answer
    x = 969,847.41

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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.