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Finding the Third Proportional to 171,986 and 260,576

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Solution

The third proportional to 171,986 and 260,576 is: 394,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,986 : 260,576 = 260,576 : x
  2. Step 2: Convert to fraction form
    171,986/260,576 = 260,576/x
  3. Step 3: Cross multiply
    171,986x = 260,576 × 260,576
  4. Step 4: Simplify right side
    171,986x = 67,899,851,776
  5. Step 5: Solve for x
    x = 67,899,851,776/171,986
  6. Step 6: Final answer
    x = 394,798.71

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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.