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Finding the Third Proportional to 171,860 and 377,573

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Solution

The third proportional to 171,860 and 377,573 is: 829,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,860 : 377,573 = 377,573 : x
  2. Step 2: Convert to fraction form
    171,860/377,573 = 377,573/x
  3. Step 3: Cross multiply
    171,860x = 377,573 × 377,573
  4. Step 4: Simplify right side
    171,860x = 142,561,370,329
  5. Step 5: Solve for x
    x = 142,561,370,329/171,860
  6. Step 6: Final answer
    x = 829,520.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.