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Finding the Third Proportional to 179,872 and 388,558

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Solution

The third proportional to 179,872 and 388,558 is: 839,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,872 : 388,558 = 388,558 : x
  2. Step 2: Convert to fraction form
    179,872/388,558 = 388,558/x
  3. Step 3: Cross multiply
    179,872x = 388,558 × 388,558
  4. Step 4: Simplify right side
    179,872x = 150,977,319,364
  5. Step 5: Solve for x
    x = 150,977,319,364/179,872
  6. Step 6: Final answer
    x = 839,359.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.