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Finding the Third Proportional to 192,418.13 and 301,845.38

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Solution

The third proportional to 192,418.13 and 301,845.38 is: 473,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,418.13 : 301,845.38 = 301,845.38 : x
  2. Step 2: Convert to fraction form
    192,418.13/301,845.38 = 301,845.38/x
  3. Step 3: Cross multiply
    192,418.13x = 301,845.38 × 301,845.38
  4. Step 4: Simplify right side
    192,418.13x = 91,110,630,408.89
  5. Step 5: Solve for x
    x = 91,110,630,408.89/192,418.13
  6. Step 6: Final answer
    x = 473,503.37

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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.