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Finding the Third Proportional to 177,826 and 275,259

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Solution

The third proportional to 177,826 and 275,259 is: 426,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,826 : 275,259 = 275,259 : x
  2. Step 2: Convert to fraction form
    177,826/275,259 = 275,259/x
  3. Step 3: Cross multiply
    177,826x = 275,259 × 275,259
  4. Step 4: Simplify right side
    177,826x = 75,767,517,081
  5. Step 5: Solve for x
    x = 75,767,517,081/177,826
  6. Step 6: Final answer
    x = 426,076.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.