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Finding the Third Proportional to 195,331.50 and 401,031

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Solution

The third proportional to 195,331.50 and 401,031 is: 823,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,331.50 : 401,031 = 401,031 : x
  2. Step 2: Convert to fraction form
    195,331.50/401,031 = 401,031/x
  3. Step 3: Cross multiply
    195,331.50x = 401,031 × 401,031
  4. Step 4: Simplify right side
    195,331.50x = 160,825,862,961
  5. Step 5: Solve for x
    x = 160,825,862,961/195,331.50
  6. Step 6: Final answer
    x = 823,348.32

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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.