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Finding the Third Proportional to 192,448.41 and 301,889.53

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Solution

The third proportional to 192,448.41 and 301,889.53 is: 473,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,448.41 : 301,889.53 = 301,889.53 : x
  2. Step 2: Convert to fraction form
    192,448.41/301,889.53 = 301,889.53/x
  3. Step 3: Cross multiply
    192,448.41x = 301,889.53 × 301,889.53
  4. Step 4: Simplify right side
    192,448.41x = 91,137,289,078.34
  5. Step 5: Solve for x
    x = 91,137,289,078.34/192,448.41
  6. Step 6: Final answer
    x = 473,567.39

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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.