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Finding the Third Proportional to 84,454 and 182,442

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Solution

The third proportional to 84,454 and 182,442 is: 394,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,454 : 182,442 = 182,442 : x
  2. Step 2: Convert to fraction form
    84,454/182,442 = 182,442/x
  3. Step 3: Cross multiply
    84,454x = 182,442 × 182,442
  4. Step 4: Simplify right side
    84,454x = 33,285,083,364
  5. Step 5: Solve for x
    x = 33,285,083,364/84,454
  6. Step 6: Final answer
    x = 394,120.86

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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.