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Finding the Third Proportional to 167,580 and 365,271

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Solution

The third proportional to 167,580 and 365,271 is: 796,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,580 : 365,271 = 365,271 : x
  2. Step 2: Convert to fraction form
    167,580/365,271 = 365,271/x
  3. Step 3: Cross multiply
    167,580x = 365,271 × 365,271
  4. Step 4: Simplify right side
    167,580x = 133,422,903,441
  5. Step 5: Solve for x
    x = 133,422,903,441/167,580
  6. Step 6: Final answer
    x = 796,174.39

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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.