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Finding the Third Proportional to 185,847 and 264,906

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Solution

The third proportional to 185,847 and 264,906 is: 377,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,847 : 264,906 = 264,906 : x
  2. Step 2: Convert to fraction form
    185,847/264,906 = 264,906/x
  3. Step 3: Cross multiply
    185,847x = 264,906 × 264,906
  4. Step 4: Simplify right side
    185,847x = 70,175,188,836
  5. Step 5: Solve for x
    x = 70,175,188,836/185,847
  6. Step 6: Final answer
    x = 377,596.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.