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Finding the Third Proportional to 167,249 and 361,762

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Solution

The third proportional to 167,249 and 361,762 is: 782,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,249 : 361,762 = 361,762 : x
  2. Step 2: Convert to fraction form
    167,249/361,762 = 361,762/x
  3. Step 3: Cross multiply
    167,249x = 361,762 × 361,762
  4. Step 4: Simplify right side
    167,249x = 130,871,744,644
  5. Step 5: Solve for x
    x = 130,871,744,644/167,249
  6. Step 6: Final answer
    x = 782,496.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.