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Finding the Third Proportional to 185,793.75 and 407,187

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Solution

The third proportional to 185,793.75 and 407,187 is: 892,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,793.75 : 407,187 = 407,187 : x
  2. Step 2: Convert to fraction form
    185,793.75/407,187 = 407,187/x
  3. Step 3: Cross multiply
    185,793.75x = 407,187 × 407,187
  4. Step 4: Simplify right side
    185,793.75x = 165,801,252,969
  5. Step 5: Solve for x
    x = 165,801,252,969/185,793.75
  6. Step 6: Final answer
    x = 892,394.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.