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Finding the Third Proportional to 199,538 and 236,444

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Solution

The third proportional to 199,538 and 236,444 is: 280,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,538 : 236,444 = 236,444 : x
  2. Step 2: Convert to fraction form
    199,538/236,444 = 236,444/x
  3. Step 3: Cross multiply
    199,538x = 236,444 × 236,444
  4. Step 4: Simplify right side
    199,538x = 55,905,765,136
  5. Step 5: Solve for x
    x = 55,905,765,136/199,538
  6. Step 6: Final answer
    x = 280,176.03

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.