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Finding the Third Proportional to 177,927.75 and 376,485.75

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Solution

The third proportional to 177,927.75 and 376,485.75 is: 796,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,927.75 : 376,485.75 = 376,485.75 : x
  2. Step 2: Convert to fraction form
    177,927.75/376,485.75 = 376,485.75/x
  3. Step 3: Cross multiply
    177,927.75x = 376,485.75 × 376,485.75
  4. Step 4: Simplify right side
    177,927.75x = 141,741,519,953.06
  5. Step 5: Solve for x
    x = 141,741,519,953.06/177,927.75
  6. Step 6: Final answer
    x = 796,624.02

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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.