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Finding the Third Proportional to 195,068.25 and 419,235.75

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Solution

The third proportional to 195,068.25 and 419,235.75 is: 901,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,068.25 : 419,235.75 = 419,235.75 : x
  2. Step 2: Convert to fraction form
    195,068.25/419,235.75 = 419,235.75/x
  3. Step 3: Cross multiply
    195,068.25x = 419,235.75 × 419,235.75
  4. Step 4: Simplify right side
    195,068.25x = 175,758,614,078.06
  5. Step 5: Solve for x
    x = 175,758,614,078.06/195,068.25
  6. Step 6: Final answer
    x = 901,010.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.