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Finding the Third Proportional to 117,950 and 262,252

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Solution

The third proportional to 117,950 and 262,252 is: 583,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,950 : 262,252 = 262,252 : x
  2. Step 2: Convert to fraction form
    117,950/262,252 = 262,252/x
  3. Step 3: Cross multiply
    117,950x = 262,252 × 262,252
  4. Step 4: Simplify right side
    117,950x = 68,776,111,504
  5. Step 5: Solve for x
    x = 68,776,111,504/117,950
  6. Step 6: Final answer
    x = 583,095.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.