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Finding the Third Proportional to 168,452.50 and 368,021.50

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Solution

The third proportional to 168,452.50 and 368,021.50 is: 804,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,452.50 : 368,021.50 = 368,021.50 : x
  2. Step 2: Convert to fraction form
    168,452.50/368,021.50 = 368,021.50/x
  3. Step 3: Cross multiply
    168,452.50x = 368,021.50 × 368,021.50
  4. Step 4: Simplify right side
    168,452.50x = 135,439,824,462.25
  5. Step 5: Solve for x
    x = 135,439,824,462.25/168,452.50
  6. Step 6: Final answer
    x = 804,023.83

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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.