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Finding the Third Proportional to 140,945 and 218,383.50

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Solution

The third proportional to 140,945 and 218,383.50 is: 338,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,945 : 218,383.50 = 218,383.50 : x
  2. Step 2: Convert to fraction form
    140,945/218,383.50 = 218,383.50/x
  3. Step 3: Cross multiply
    140,945x = 218,383.50 × 218,383.50
  4. Step 4: Simplify right side
    140,945x = 47,691,353,072.25
  5. Step 5: Solve for x
    x = 47,691,353,072.25/140,945
  6. Step 6: Final answer
    x = 338,368.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.