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Finding the Third Proportional to 171,678 and 371,664

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Solution

The third proportional to 171,678 and 371,664 is: 804,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,678 : 371,664 = 371,664 : x
  2. Step 2: Convert to fraction form
    171,678/371,664 = 371,664/x
  3. Step 3: Cross multiply
    171,678x = 371,664 × 371,664
  4. Step 4: Simplify right side
    171,678x = 138,134,128,896
  5. Step 5: Solve for x
    x = 138,134,128,896/171,678
  6. Step 6: Final answer
    x = 804,611.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.