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Finding the Third Proportional to 183,170 and 397,444

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Solution

The third proportional to 183,170 and 397,444 is: 862,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,170 : 397,444 = 397,444 : x
  2. Step 2: Convert to fraction form
    183,170/397,444 = 397,444/x
  3. Step 3: Cross multiply
    183,170x = 397,444 × 397,444
  4. Step 4: Simplify right side
    183,170x = 157,961,733,136
  5. Step 5: Solve for x
    x = 157,961,733,136/183,170
  6. Step 6: Final answer
    x = 862,377.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.