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Finding the Third Proportional to 181,375 and 388,993

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Solution

The third proportional to 181,375 and 388,993 is: 834,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,375 : 388,993 = 388,993 : x
  2. Step 2: Convert to fraction form
    181,375/388,993 = 388,993/x
  3. Step 3: Cross multiply
    181,375x = 388,993 × 388,993
  4. Step 4: Simplify right side
    181,375x = 151,315,554,049
  5. Step 5: Solve for x
    x = 151,315,554,049/181,375
  6. Step 6: Final answer
    x = 834,269.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.