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Finding the Third Proportional to 195,064 and 419,226

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Solution

The third proportional to 195,064 and 419,226 is: 900,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,064 : 419,226 = 419,226 : x
  2. Step 2: Convert to fraction form
    195,064/419,226 = 419,226/x
  3. Step 3: Cross multiply
    195,064x = 419,226 × 419,226
  4. Step 4: Simplify right side
    195,064x = 175,750,439,076
  5. Step 5: Solve for x
    x = 175,750,439,076/195,064
  6. Step 6: Final answer
    x = 900,988.59

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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.