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Finding the Third Proportional to 198,293 and 297,881

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Solution

The third proportional to 198,293 and 297,881 is: 447,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,293 : 297,881 = 297,881 : x
  2. Step 2: Convert to fraction form
    198,293/297,881 = 297,881/x
  3. Step 3: Cross multiply
    198,293x = 297,881 × 297,881
  4. Step 4: Simplify right side
    198,293x = 88,733,090,161
  5. Step 5: Solve for x
    x = 88,733,090,161/198,293
  6. Step 6: Final answer
    x = 447,484.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.