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Finding the Third Proportional to 117,538 and 261,236

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Solution

The third proportional to 117,538 and 261,236 is: 580,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,538 : 261,236 = 261,236 : x
  2. Step 2: Convert to fraction form
    117,538/261,236 = 261,236/x
  3. Step 3: Cross multiply
    117,538x = 261,236 × 261,236
  4. Step 4: Simplify right side
    117,538x = 68,244,247,696
  5. Step 5: Solve for x
    x = 68,244,247,696/117,538
  6. Step 6: Final answer
    x = 580,614.33

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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.