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Finding the Third Proportional to 171,371 and 273,662

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Solution

The third proportional to 171,371 and 273,662 is: 437,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,371 : 273,662 = 273,662 : x
  2. Step 2: Convert to fraction form
    171,371/273,662 = 273,662/x
  3. Step 3: Cross multiply
    171,371x = 273,662 × 273,662
  4. Step 4: Simplify right side
    171,371x = 74,890,890,244
  5. Step 5: Solve for x
    x = 74,890,890,244/171,371
  6. Step 6: Final answer
    x = 437,010.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.