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Finding the Third Proportional to 171,612 and 262,524

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Solution

The third proportional to 171,612 and 262,524 is: 401,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,612 : 262,524 = 262,524 : x
  2. Step 2: Convert to fraction form
    171,612/262,524 = 262,524/x
  3. Step 3: Cross multiply
    171,612x = 262,524 × 262,524
  4. Step 4: Simplify right side
    171,612x = 68,918,850,576
  5. Step 5: Solve for x
    x = 68,918,850,576/171,612
  6. Step 6: Final answer
    x = 401,596.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.