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Finding the Third Proportional to 177,244 and 388,939

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Solution

The third proportional to 177,244 and 388,939 is: 853,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,244 : 388,939 = 388,939 : x
  2. Step 2: Convert to fraction form
    177,244/388,939 = 388,939/x
  3. Step 3: Cross multiply
    177,244x = 388,939 × 388,939
  4. Step 4: Simplify right side
    177,244x = 151,273,545,721
  5. Step 5: Solve for x
    x = 151,273,545,721/177,244
  6. Step 6: Final answer
    x = 853,476.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.