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Finding the Third Proportional to 193,155.75 and 419,559.75

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Solution

The third proportional to 193,155.75 and 419,559.75 is: 911,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,155.75 : 419,559.75 = 419,559.75 : x
  2. Step 2: Convert to fraction form
    193,155.75/419,559.75 = 419,559.75/x
  3. Step 3: Cross multiply
    193,155.75x = 419,559.75 × 419,559.75
  4. Step 4: Simplify right side
    193,155.75x = 176,030,383,820.06
  5. Step 5: Solve for x
    x = 176,030,383,820.06/193,155.75
  6. Step 6: Final answer
    x = 911,339.08

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Why These Related Problems?

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