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Finding the Third Proportional to 193,146.75 and 419,541.75

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Solution

The third proportional to 193,146.75 and 419,541.75 is: 911,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,146.75 : 419,541.75 = 419,541.75 : x
  2. Step 2: Convert to fraction form
    193,146.75/419,541.75 = 419,541.75/x
  3. Step 3: Cross multiply
    193,146.75x = 419,541.75 × 419,541.75
  4. Step 4: Simplify right side
    193,146.75x = 176,015,279,993.06
  5. Step 5: Solve for x
    x = 176,015,279,993.06/193,146.75
  6. Step 6: Final answer
    x = 911,303.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.