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Finding the Third Proportional to 167,134.50 and 365,849

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Solution

The third proportional to 167,134.50 and 365,849 is: 800,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,134.50 : 365,849 = 365,849 : x
  2. Step 2: Convert to fraction form
    167,134.50/365,849 = 365,849/x
  3. Step 3: Cross multiply
    167,134.50x = 365,849 × 365,849
  4. Step 4: Simplify right side
    167,134.50x = 133,845,490,801
  5. Step 5: Solve for x
    x = 133,845,490,801/167,134.50
  6. Step 6: Final answer
    x = 800,825.03

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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.