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Finding the Third Proportional to 201,857 and 298,876

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Solution

The third proportional to 201,857 and 298,876 is: 442,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,857 : 298,876 = 298,876 : x
  2. Step 2: Convert to fraction form
    201,857/298,876 = 298,876/x
  3. Step 3: Cross multiply
    201,857x = 298,876 × 298,876
  4. Step 4: Simplify right side
    201,857x = 89,326,863,376
  5. Step 5: Solve for x
    x = 89,326,863,376/201,857
  6. Step 6: Final answer
    x = 442,525.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.