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Finding the Third Proportional to 179,963.75 and 416,627.25

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Solution

The third proportional to 179,963.75 and 416,627.25 is: 964,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,963.75 : 416,627.25 = 416,627.25 : x
  2. Step 2: Convert to fraction form
    179,963.75/416,627.25 = 416,627.25/x
  3. Step 3: Cross multiply
    179,963.75x = 416,627.25 × 416,627.25
  4. Step 4: Simplify right side
    179,963.75x = 173,578,265,442.56
  5. Step 5: Solve for x
    x = 173,578,265,442.56/179,963.75
  6. Step 6: Final answer
    x = 964,517.94

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.