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Finding the Third Proportional to 195,057 and 419,213

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Solution

The third proportional to 195,057 and 419,213 is: 900,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,057 : 419,213 = 419,213 : x
  2. Step 2: Convert to fraction form
    195,057/419,213 = 419,213/x
  3. Step 3: Cross multiply
    195,057x = 419,213 × 419,213
  4. Step 4: Simplify right side
    195,057x = 175,739,539,369
  5. Step 5: Solve for x
    x = 175,739,539,369/195,057
  6. Step 6: Final answer
    x = 900,965.05

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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.