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Finding the Third Proportional to 179,467 and 377,525

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Solution

The third proportional to 179,467 and 377,525 is: 794,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,467 : 377,525 = 377,525 : x
  2. Step 2: Convert to fraction form
    179,467/377,525 = 377,525/x
  3. Step 3: Cross multiply
    179,467x = 377,525 × 377,525
  4. Step 4: Simplify right side
    179,467x = 142,525,125,625
  5. Step 5: Solve for x
    x = 142,525,125,625/179,467
  6. Step 6: Final answer
    x = 794,157.84

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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.