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Finding the Third Proportional to 135,673 and 199,444

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Solution

The third proportional to 135,673 and 199,444 is: 293,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,673 : 199,444 = 199,444 : x
  2. Step 2: Convert to fraction form
    135,673/199,444 = 199,444/x
  3. Step 3: Cross multiply
    135,673x = 199,444 × 199,444
  4. Step 4: Simplify right side
    135,673x = 39,777,909,136
  5. Step 5: Solve for x
    x = 39,777,909,136/135,673
  6. Step 6: Final answer
    x = 293,189.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.