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Finding the Third Proportional to 167,852.25 and 365,217.75

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Solution

The third proportional to 167,852.25 and 365,217.75 is: 794,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,852.25 : 365,217.75 = 365,217.75 : x
  2. Step 2: Convert to fraction form
    167,852.25/365,217.75 = 365,217.75/x
  3. Step 3: Cross multiply
    167,852.25x = 365,217.75 × 365,217.75
  4. Step 4: Simplify right side
    167,852.25x = 133,384,004,915.06
  5. Step 5: Solve for x
    x = 133,384,004,915.06/167,852.25
  6. Step 6: Final answer
    x = 794,651.28

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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.