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Finding the Third Proportional to 170,849.25 and 270,189

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Solution

The third proportional to 170,849.25 and 270,189 is: 427,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,849.25 : 270,189 = 270,189 : x
  2. Step 2: Convert to fraction form
    170,849.25/270,189 = 270,189/x
  3. Step 3: Cross multiply
    170,849.25x = 270,189 × 270,189
  4. Step 4: Simplify right side
    170,849.25x = 73,002,095,721
  5. Step 5: Solve for x
    x = 73,002,095,721/170,849.25
  6. Step 6: Final answer
    x = 427,289.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.