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Finding the Third Proportional to 179,600 and 377,800

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Solution

The third proportional to 179,600 and 377,800 is: 794,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,600 : 377,800 = 377,800 : x
  2. Step 2: Convert to fraction form
    179,600/377,800 = 377,800/x
  3. Step 3: Cross multiply
    179,600x = 377,800 × 377,800
  4. Step 4: Simplify right side
    179,600x = 142,732,840,000
  5. Step 5: Solve for x
    x = 142,732,840,000/179,600
  6. Step 6: Final answer
    x = 794,726.28

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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.