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Finding the Third Proportional to 171,146 and 320,872

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Solution

The third proportional to 171,146 and 320,872 is: 601,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,146 : 320,872 = 320,872 : x
  2. Step 2: Convert to fraction form
    171,146/320,872 = 320,872/x
  3. Step 3: Cross multiply
    171,146x = 320,872 × 320,872
  4. Step 4: Simplify right side
    171,146x = 102,958,840,384
  5. Step 5: Solve for x
    x = 102,958,840,384/171,146
  6. Step 6: Final answer
    x = 601,584.85

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.