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Finding the Third Proportional to 202,876 and 296,802

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Solution

The third proportional to 202,876 and 296,802 is: 434,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,876 : 296,802 = 296,802 : x
  2. Step 2: Convert to fraction form
    202,876/296,802 = 296,802/x
  3. Step 3: Cross multiply
    202,876x = 296,802 × 296,802
  4. Step 4: Simplify right side
    202,876x = 88,091,427,204
  5. Step 5: Solve for x
    x = 88,091,427,204/202,876
  6. Step 6: Final answer
    x = 434,213.15

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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.