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Finding the Third Proportional to 155,796.75 and 254,376.75

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Solution

The third proportional to 155,796.75 and 254,376.75 is: 415,333.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,796.75 : 254,376.75 = 254,376.75 : x
  2. Step 2: Convert to fraction form
    155,796.75/254,376.75 = 254,376.75/x
  3. Step 3: Cross multiply
    155,796.75x = 254,376.75 × 254,376.75
  4. Step 4: Simplify right side
    155,796.75x = 64,707,530,940.56
  5. Step 5: Solve for x
    x = 64,707,530,940.56/155,796.75
  6. Step 6: Final answer
    x = 415,333.00

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.