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Finding the Third Proportional to 85,406 and 183,446

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Solution

The third proportional to 85,406 and 183,446 is: 394,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,406 : 183,446 = 183,446 : x
  2. Step 2: Convert to fraction form
    85,406/183,446 = 183,446/x
  3. Step 3: Cross multiply
    85,406x = 183,446 × 183,446
  4. Step 4: Simplify right side
    85,406x = 33,652,434,916
  5. Step 5: Solve for x
    x = 33,652,434,916/85,406
  6. Step 6: Final answer
    x = 394,028.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.