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Finding the Third Proportional to 195,873 and 439,682

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Solution

The third proportional to 195,873 and 439,682 is: 986,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,873 : 439,682 = 439,682 : x
  2. Step 2: Convert to fraction form
    195,873/439,682 = 439,682/x
  3. Step 3: Cross multiply
    195,873x = 439,682 × 439,682
  4. Step 4: Simplify right side
    195,873x = 193,320,261,124
  5. Step 5: Solve for x
    x = 193,320,261,124/195,873
  6. Step 6: Final answer
    x = 986,967.38

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.