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Finding the Third Proportional to 167,532 and 365,185.50

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Solution

The third proportional to 167,532 and 365,185.50 is: 796,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,532 : 365,185.50 = 365,185.50 : x
  2. Step 2: Convert to fraction form
    167,532/365,185.50 = 365,185.50/x
  3. Step 3: Cross multiply
    167,532x = 365,185.50 × 365,185.50
  4. Step 4: Simplify right side
    167,532x = 133,360,449,410.25
  5. Step 5: Solve for x
    x = 133,360,449,410.25/167,532
  6. Step 6: Final answer
    x = 796,029.71

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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.