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Finding the Third Proportional to 167,398 and 372,044

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Solution

The third proportional to 167,398 and 372,044 is: 826,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,398 : 372,044 = 372,044 : x
  2. Step 2: Convert to fraction form
    167,398/372,044 = 372,044/x
  3. Step 3: Cross multiply
    167,398x = 372,044 × 372,044
  4. Step 4: Simplify right side
    167,398x = 138,416,737,936
  5. Step 5: Solve for x
    x = 138,416,737,936/167,398
  6. Step 6: Final answer
    x = 826,872.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.