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Finding the Third Proportional to 177,923.25 and 376,476.75

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Solution

The third proportional to 177,923.25 and 376,476.75 is: 796,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,923.25 : 376,476.75 = 376,476.75 : x
  2. Step 2: Convert to fraction form
    177,923.25/376,476.75 = 376,476.75/x
  3. Step 3: Cross multiply
    177,923.25x = 376,476.75 × 376,476.75
  4. Step 4: Simplify right side
    177,923.25x = 141,734,743,290.56
  5. Step 5: Solve for x
    x = 141,734,743,290.56/177,923.25
  6. Step 6: Final answer
    x = 796,606.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.