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Finding the Third Proportional to 71,396.44 and 156,806.30

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Solution

The third proportional to 71,396.44 and 156,806.30 is: 344,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,396.44 : 156,806.30 = 156,806.30 : x
  2. Step 2: Convert to fraction form
    71,396.44/156,806.30 = 156,806.30/x
  3. Step 3: Cross multiply
    71,396.44x = 156,806.30 × 156,806.30
  4. Step 4: Simplify right side
    71,396.44x = 24,588,214,739.65
  5. Step 5: Solve for x
    x = 24,588,214,739.65/71,396.44
  6. Step 6: Final answer
    x = 344,389.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.