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Finding the Third Proportional to 127,975.50 and 298,968.75

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Solution

The third proportional to 127,975.50 and 298,968.75 is: 698,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,975.50 : 298,968.75 = 298,968.75 : x
  2. Step 2: Convert to fraction form
    127,975.50/298,968.75 = 298,968.75/x
  3. Step 3: Cross multiply
    127,975.50x = 298,968.75 × 298,968.75
  4. Step 4: Simplify right side
    127,975.50x = 89,382,313,476.56
  5. Step 5: Solve for x
    x = 89,382,313,476.56/127,975.50
  6. Step 6: Final answer
    x = 698,433.01

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.