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Finding the Third Proportional to 170,757 and 274,360

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Solution

The third proportional to 170,757 and 274,360 is: 440,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,757 : 274,360 = 274,360 : x
  2. Step 2: Convert to fraction form
    170,757/274,360 = 274,360/x
  3. Step 3: Cross multiply
    170,757x = 274,360 × 274,360
  4. Step 4: Simplify right side
    170,757x = 75,273,409,600
  5. Step 5: Solve for x
    x = 75,273,409,600/170,757
  6. Step 6: Final answer
    x = 440,821.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.