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Finding the Third Proportional to 168,857.25 and 365,735.50

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Solution

The third proportional to 168,857.25 and 365,735.50 is: 792,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,857.25 : 365,735.50 = 365,735.50 : x
  2. Step 2: Convert to fraction form
    168,857.25/365,735.50 = 365,735.50/x
  3. Step 3: Cross multiply
    168,857.25x = 365,735.50 × 365,735.50
  4. Step 4: Simplify right side
    168,857.25x = 133,762,455,960.25
  5. Step 5: Solve for x
    x = 133,762,455,960.25/168,857.25
  6. Step 6: Final answer
    x = 792,162.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.