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Finding the Third Proportional to 168,500 and 366,529

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Solution

The third proportional to 168,500 and 366,529 is: 797,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,500 : 366,529 = 366,529 : x
  2. Step 2: Convert to fraction form
    168,500/366,529 = 366,529/x
  3. Step 3: Cross multiply
    168,500x = 366,529 × 366,529
  4. Step 4: Simplify right side
    168,500x = 134,343,507,841
  5. Step 5: Solve for x
    x = 134,343,507,841/168,500
  6. Step 6: Final answer
    x = 797,290.85

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Why These Related Problems?

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