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Finding the Third Proportional to 179,452 and 377,504

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Solution

The third proportional to 179,452 and 377,504 is: 794,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,452 : 377,504 = 377,504 : x
  2. Step 2: Convert to fraction form
    179,452/377,504 = 377,504/x
  3. Step 3: Cross multiply
    179,452x = 377,504 × 377,504
  4. Step 4: Simplify right side
    179,452x = 142,509,270,016
  5. Step 5: Solve for x
    x = 142,509,270,016/179,452
  6. Step 6: Final answer
    x = 794,135.87

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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.