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Finding the Third Proportional to 192,399.05 and 301,814.54

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Solution

The third proportional to 192,399.05 and 301,814.54 is: 473,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,399.05 : 301,814.54 = 301,814.54 : x
  2. Step 2: Convert to fraction form
    192,399.05/301,814.54 = 301,814.54/x
  3. Step 3: Cross multiply
    192,399.05x = 301,814.54 × 301,814.54
  4. Step 4: Simplify right side
    192,399.05x = 91,092,018,347.44
  5. Step 5: Solve for x
    x = 91,092,018,347.44/192,399.05
  6. Step 6: Final answer
    x = 473,453.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.