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Finding the Third Proportional to 170,855 and 375,189

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Solution

The third proportional to 170,855 and 375,189 is: 823,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,855 : 375,189 = 375,189 : x
  2. Step 2: Convert to fraction form
    170,855/375,189 = 375,189/x
  3. Step 3: Cross multiply
    170,855x = 375,189 × 375,189
  4. Step 4: Simplify right side
    170,855x = 140,766,785,721
  5. Step 5: Solve for x
    x = 140,766,785,721/170,855
  6. Step 6: Final answer
    x = 823,896.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.