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Finding the Third Proportional to 195,005.25 and 419,115.38

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Solution

The third proportional to 195,005.25 and 419,115.38 is: 900,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005.25 : 419,115.38 = 419,115.38 : x
  2. Step 2: Convert to fraction form
    195,005.25/419,115.38 = 419,115.38/x
  3. Step 3: Cross multiply
    195,005.25x = 419,115.38 × 419,115.38
  4. Step 4: Simplify right side
    195,005.25x = 175,657,697,561.39
  5. Step 5: Solve for x
    x = 175,657,697,561.39/195,005.25
  6. Step 6: Final answer
    x = 900,784.45

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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.