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Finding the Third Proportional to 140,450 and 214,851

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Solution

The third proportional to 140,450 and 214,851 is: 328,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,450 : 214,851 = 214,851 : x
  2. Step 2: Convert to fraction form
    140,450/214,851 = 214,851/x
  3. Step 3: Cross multiply
    140,450x = 214,851 × 214,851
  4. Step 4: Simplify right side
    140,450x = 46,160,952,201
  5. Step 5: Solve for x
    x = 46,160,952,201/140,450
  6. Step 6: Final answer
    x = 328,664.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.