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Finding the Third Proportional to 192,421.88 and 301,845.75

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Solution

The third proportional to 192,421.88 and 301,845.75 is: 473,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,421.88 : 301,845.75 = 301,845.75 : x
  2. Step 2: Convert to fraction form
    192,421.88/301,845.75 = 301,845.75/x
  3. Step 3: Cross multiply
    192,421.88x = 301,845.75 × 301,845.75
  4. Step 4: Simplify right side
    192,421.88x = 91,110,856,793.06
  5. Step 5: Solve for x
    x = 91,110,856,793.06/192,421.88
  6. Step 6: Final answer
    x = 473,495.32

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