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Finding the Third Proportional to 193,155.75 and 467,304.75

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Solution

The third proportional to 193,155.75 and 467,304.75 is: 1,130,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,155.75 : 467,304.75 = 467,304.75 : x
  2. Step 2: Convert to fraction form
    193,155.75/467,304.75 = 467,304.75/x
  3. Step 3: Cross multiply
    193,155.75x = 467,304.75 × 467,304.75
  4. Step 4: Simplify right side
    193,155.75x = 218,373,729,372.56
  5. Step 5: Solve for x
    x = 218,373,729,372.56/193,155.75
  6. Step 6: Final answer
    x = 1,130,557.75

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.