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Finding the Third Proportional to 192,811.50 and 415,221.75

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Solution

The third proportional to 192,811.50 and 415,221.75 is: 894,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,811.50 : 415,221.75 = 415,221.75 : x
  2. Step 2: Convert to fraction form
    192,811.50/415,221.75 = 415,221.75/x
  3. Step 3: Cross multiply
    192,811.50x = 415,221.75 × 415,221.75
  4. Step 4: Simplify right side
    192,811.50x = 172,409,101,673.06
  5. Step 5: Solve for x
    x = 172,409,101,673.06/192,811.50
  6. Step 6: Final answer
    x = 894,184.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.