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Finding the Third Proportional to 84,457 and 182,446

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Solution

The third proportional to 84,457 and 182,446 is: 394,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,457 : 182,446 = 182,446 : x
  2. Step 2: Convert to fraction form
    84,457/182,446 = 182,446/x
  3. Step 3: Cross multiply
    84,457x = 182,446 × 182,446
  4. Step 4: Simplify right side
    84,457x = 33,286,542,916
  5. Step 5: Solve for x
    x = 33,286,542,916/84,457
  6. Step 6: Final answer
    x = 394,124.15

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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.