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Finding the Third Proportional to 156,074.50 and 335,821

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Solution

The third proportional to 156,074.50 and 335,821 is: 722,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,074.50 : 335,821 = 335,821 : x
  2. Step 2: Convert to fraction form
    156,074.50/335,821 = 335,821/x
  3. Step 3: Cross multiply
    156,074.50x = 335,821 × 335,821
  4. Step 4: Simplify right side
    156,074.50x = 112,775,744,041
  5. Step 5: Solve for x
    x = 112,775,744,041/156,074.50
  6. Step 6: Final answer
    x = 722,576.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.