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Finding the Third Proportional to 192,418.88 and 301,846.13

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Solution

The third proportional to 192,418.88 and 301,846.13 is: 473,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,418.88 : 301,846.13 = 301,846.13 : x
  2. Step 2: Convert to fraction form
    192,418.88/301,846.13 = 301,846.13/x
  3. Step 3: Cross multiply
    192,418.88x = 301,846.13 × 301,846.13
  4. Step 4: Simplify right side
    192,418.88x = 91,111,083,177.52
  5. Step 5: Solve for x
    x = 91,111,083,177.52/192,418.88
  6. Step 6: Final answer
    x = 473,503.88

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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.