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Finding the Third Proportional to 192,758.13 and 417,693.50

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Solution

The third proportional to 192,758.13 and 417,693.50 is: 905,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,758.13 : 417,693.50 = 417,693.50 : x
  2. Step 2: Convert to fraction form
    192,758.13/417,693.50 = 417,693.50/x
  3. Step 3: Cross multiply
    192,758.13x = 417,693.50 × 417,693.50
  4. Step 4: Simplify right side
    192,758.13x = 174,467,859,942.25
  5. Step 5: Solve for x
    x = 174,467,859,942.25/192,758.13
  6. Step 6: Final answer
    x = 905,112.87

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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.