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Finding the Third Proportional to 177,825 and 388,845

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Solution

The third proportional to 177,825 and 388,845 is: 850,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,825 : 388,845 = 388,845 : x
  2. Step 2: Convert to fraction form
    177,825/388,845 = 388,845/x
  3. Step 3: Cross multiply
    177,825x = 388,845 × 388,845
  4. Step 4: Simplify right side
    177,825x = 151,200,434,025
  5. Step 5: Solve for x
    x = 151,200,434,025/177,825
  6. Step 6: Final answer
    x = 850,276.59

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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.