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Finding the Third Proportional to 170,631 and 367,427.25

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Solution

The third proportional to 170,631 and 367,427.25 is: 791,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,631 : 367,427.25 = 367,427.25 : x
  2. Step 2: Convert to fraction form
    170,631/367,427.25 = 367,427.25/x
  3. Step 3: Cross multiply
    170,631x = 367,427.25 × 367,427.25
  4. Step 4: Simplify right side
    170,631x = 135,002,784,042.56
  5. Step 5: Solve for x
    x = 135,002,784,042.56/170,631
  6. Step 6: Final answer
    x = 791,197.29

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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.