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Finding the Third Proportional to 140,241 and 305,863.50

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Solution

The third proportional to 140,241 and 305,863.50 is: 667,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,241 : 305,863.50 = 305,863.50 : x
  2. Step 2: Convert to fraction form
    140,241/305,863.50 = 305,863.50/x
  3. Step 3: Cross multiply
    140,241x = 305,863.50 × 305,863.50
  4. Step 4: Simplify right side
    140,241x = 93,552,480,632.25
  5. Step 5: Solve for x
    x = 93,552,480,632.25/140,241
  6. Step 6: Final answer
    x = 667,083.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.