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Finding the Third Proportional to 179,446 and 377,483

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Solution

The third proportional to 179,446 and 377,483 is: 794,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,446 : 377,483 = 377,483 : x
  2. Step 2: Convert to fraction form
    179,446/377,483 = 377,483/x
  3. Step 3: Cross multiply
    179,446x = 377,483 × 377,483
  4. Step 4: Simplify right side
    179,446x = 142,493,415,289
  5. Step 5: Solve for x
    x = 142,493,415,289/179,446
  6. Step 6: Final answer
    x = 794,074.07

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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.