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Finding the Third Proportional to 117,302 and 276,635

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Solution

The third proportional to 117,302 and 276,635 is: 652,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,302 : 276,635 = 276,635 : x
  2. Step 2: Convert to fraction form
    117,302/276,635 = 276,635/x
  3. Step 3: Cross multiply
    117,302x = 276,635 × 276,635
  4. Step 4: Simplify right side
    117,302x = 76,526,923,225
  5. Step 5: Solve for x
    x = 76,526,923,225/117,302
  6. Step 6: Final answer
    x = 652,392.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.