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Finding the Third Proportional to 171,984 and 260,573

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Solution

The third proportional to 171,984 and 260,573 is: 394,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,984 : 260,573 = 260,573 : x
  2. Step 2: Convert to fraction form
    171,984/260,573 = 260,573/x
  3. Step 3: Cross multiply
    171,984x = 260,573 × 260,573
  4. Step 4: Simplify right side
    171,984x = 67,898,288,329
  5. Step 5: Solve for x
    x = 67,898,288,329/171,984
  6. Step 6: Final answer
    x = 394,794.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.