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Finding the Third Proportional to 177,268 and 388,978

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Solution

The third proportional to 177,268 and 388,978 is: 853,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,268 : 388,978 = 388,978 : x
  2. Step 2: Convert to fraction form
    177,268/388,978 = 388,978/x
  3. Step 3: Cross multiply
    177,268x = 388,978 × 388,978
  4. Step 4: Simplify right side
    177,268x = 151,303,884,484
  5. Step 5: Solve for x
    x = 151,303,884,484/177,268
  6. Step 6: Final answer
    x = 853,531.85

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