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Finding the Third Proportional to 195,056 and 419,211

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Solution

The third proportional to 195,056 and 419,211 is: 900,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,056 : 419,211 = 419,211 : x
  2. Step 2: Convert to fraction form
    195,056/419,211 = 419,211/x
  3. Step 3: Cross multiply
    195,056x = 419,211 × 419,211
  4. Step 4: Simplify right side
    195,056x = 175,737,862,521
  5. Step 5: Solve for x
    x = 175,737,862,521/195,056
  6. Step 6: Final answer
    x = 900,961.07

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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.