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Finding the Third Proportional to 195,041.25 and 419,178.38

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Solution

The third proportional to 195,041.25 and 419,178.38 is: 900,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,041.25 : 419,178.38 = 419,178.38 : x
  2. Step 2: Convert to fraction form
    195,041.25/419,178.38 = 419,178.38/x
  3. Step 3: Cross multiply
    195,041.25x = 419,178.38 × 419,178.38
  4. Step 4: Simplify right side
    195,041.25x = 175,710,510,067.64
  5. Step 5: Solve for x
    x = 175,710,510,067.64/195,041.25
  6. Step 6: Final answer
    x = 900,888.97

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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.