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Finding the Third Proportional to 167,049 and 350,501

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Solution

The third proportional to 167,049 and 350,501 is: 735,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,049 : 350,501 = 350,501 : x
  2. Step 2: Convert to fraction form
    167,049/350,501 = 350,501/x
  3. Step 3: Cross multiply
    167,049x = 350,501 × 350,501
  4. Step 4: Simplify right side
    167,049x = 122,850,951,001
  5. Step 5: Solve for x
    x = 122,850,951,001/167,049
  6. Step 6: Final answer
    x = 735,418.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.