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Finding the Third Proportional to 192,757.50 and 417,693

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Solution

The third proportional to 192,757.50 and 417,693 is: 905,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,757.50 : 417,693 = 417,693 : x
  2. Step 2: Convert to fraction form
    192,757.50/417,693 = 417,693/x
  3. Step 3: Cross multiply
    192,757.50x = 417,693 × 417,693
  4. Step 4: Simplify right side
    192,757.50x = 174,467,442,249
  5. Step 5: Solve for x
    x = 174,467,442,249/192,757.50
  6. Step 6: Final answer
    x = 905,113.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.