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Finding the Third Proportional to 174,503 and 276,767

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Solution

The third proportional to 174,503 and 276,767 is: 438,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,503 : 276,767 = 276,767 : x
  2. Step 2: Convert to fraction form
    174,503/276,767 = 276,767/x
  3. Step 3: Cross multiply
    174,503x = 276,767 × 276,767
  4. Step 4: Simplify right side
    174,503x = 76,599,972,289
  5. Step 5: Solve for x
    x = 76,599,972,289/174,503
  6. Step 6: Final answer
    x = 438,960.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.