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Finding the Third Proportional to 173,546 and 262,503

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Solution

The third proportional to 173,546 and 262,503 is: 397,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,546 : 262,503 = 262,503 : x
  2. Step 2: Convert to fraction form
    173,546/262,503 = 262,503/x
  3. Step 3: Cross multiply
    173,546x = 262,503 × 262,503
  4. Step 4: Simplify right side
    173,546x = 68,907,825,009
  5. Step 5: Solve for x
    x = 68,907,825,009/173,546
  6. Step 6: Final answer
    x = 397,057.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.