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Finding the Third Proportional to 195,356 and 401,068

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Solution

The third proportional to 195,356 and 401,068 is: 823,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,356 : 401,068 = 401,068 : x
  2. Step 2: Convert to fraction form
    195,356/401,068 = 401,068/x
  3. Step 3: Cross multiply
    195,356x = 401,068 × 401,068
  4. Step 4: Simplify right side
    195,356x = 160,855,540,624
  5. Step 5: Solve for x
    x = 160,855,540,624/195,356
  6. Step 6: Final answer
    x = 823,396.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.