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Finding the Third Proportional to 202,743 and 418,338

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Solution

The third proportional to 202,743 and 418,338 is: 863,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,743 : 418,338 = 418,338 : x
  2. Step 2: Convert to fraction form
    202,743/418,338 = 418,338/x
  3. Step 3: Cross multiply
    202,743x = 418,338 × 418,338
  4. Step 4: Simplify right side
    202,743x = 175,006,682,244
  5. Step 5: Solve for x
    x = 175,006,682,244/202,743
  6. Step 6: Final answer
    x = 863,194.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.