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Finding the Third Proportional to 202,883 and 296,812

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Solution

The third proportional to 202,883 and 296,812 is: 434,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,883 : 296,812 = 296,812 : x
  2. Step 2: Convert to fraction form
    202,883/296,812 = 296,812/x
  3. Step 3: Cross multiply
    202,883x = 296,812 × 296,812
  4. Step 4: Simplify right side
    202,883x = 88,097,363,344
  5. Step 5: Solve for x
    x = 88,097,363,344/202,883
  6. Step 6: Final answer
    x = 434,227.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.