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Finding the Third Proportional to 171,373 and 273,665

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Solution

The third proportional to 171,373 and 273,665 is: 437,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,373 : 273,665 = 273,665 : x
  2. Step 2: Convert to fraction form
    171,373/273,665 = 273,665/x
  3. Step 3: Cross multiply
    171,373x = 273,665 × 273,665
  4. Step 4: Simplify right side
    171,373x = 74,892,532,225
  5. Step 5: Solve for x
    x = 74,892,532,225/171,373
  6. Step 6: Final answer
    x = 437,014.77

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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.