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Finding the Third Proportional to 135,673.50 and 199,446

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Solution

The third proportional to 135,673.50 and 199,446 is: 293,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,673.50 : 199,446 = 199,446 : x
  2. Step 2: Convert to fraction form
    135,673.50/199,446 = 199,446/x
  3. Step 3: Cross multiply
    135,673.50x = 199,446 × 199,446
  4. Step 4: Simplify right side
    135,673.50x = 39,778,706,916
  5. Step 5: Solve for x
    x = 39,778,706,916/135,673.50
  6. Step 6: Final answer
    x = 293,194.37

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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.