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Finding the Third Proportional to 167,188.50 and 365,481

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Solution

The third proportional to 167,188.50 and 365,481 is: 798,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,188.50 : 365,481 = 365,481 : x
  2. Step 2: Convert to fraction form
    167,188.50/365,481 = 365,481/x
  3. Step 3: Cross multiply
    167,188.50x = 365,481 × 365,481
  4. Step 4: Simplify right side
    167,188.50x = 133,576,361,361
  5. Step 5: Solve for x
    x = 133,576,361,361/167,188.50
  6. Step 6: Final answer
    x = 798,956.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.