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Finding the Third Proportional to 167,528.25 and 365,178.38

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Solution

The third proportional to 167,528.25 and 365,178.38 is: 796,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,528.25 : 365,178.38 = 365,178.38 : x
  2. Step 2: Convert to fraction form
    167,528.25/365,178.38 = 365,178.38/x
  3. Step 3: Cross multiply
    167,528.25x = 365,178.38 × 365,178.38
  4. Step 4: Simplify right side
    167,528.25x = 133,355,245,567.64
  5. Step 5: Solve for x
    x = 133,355,245,567.64/167,528.25
  6. Step 6: Final answer
    x = 796,016.47

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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.