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Finding the Third Proportional to 177,218.25 and 388,883.25

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Solution

The third proportional to 177,218.25 and 388,883.25 is: 853,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,218.25 : 388,883.25 = 388,883.25 : x
  2. Step 2: Convert to fraction form
    177,218.25/388,883.25 = 388,883.25/x
  3. Step 3: Cross multiply
    177,218.25x = 388,883.25 × 388,883.25
  4. Step 4: Simplify right side
    177,218.25x = 151,230,182,130.56
  5. Step 5: Solve for x
    x = 151,230,182,130.56/177,218.25
  6. Step 6: Final answer
    x = 853,355.58

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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.