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Finding the Third Proportional to 179,406 and 377,400

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Solution

The third proportional to 179,406 and 377,400 is: 793,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,406 : 377,400 = 377,400 : x
  2. Step 2: Convert to fraction form
    179,406/377,400 = 377,400/x
  3. Step 3: Cross multiply
    179,406x = 377,400 × 377,400
  4. Step 4: Simplify right side
    179,406x = 142,430,760,000
  5. Step 5: Solve for x
    x = 142,430,760,000/179,406
  6. Step 6: Final answer
    x = 793,901.88

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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.