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Finding the Third Proportional to 84,450 and 182,292

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Solution

The third proportional to 84,450 and 182,292 is: 393,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,450 : 182,292 = 182,292 : x
  2. Step 2: Convert to fraction form
    84,450/182,292 = 182,292/x
  3. Step 3: Cross multiply
    84,450x = 182,292 × 182,292
  4. Step 4: Simplify right side
    84,450x = 33,230,373,264
  5. Step 5: Solve for x
    x = 33,230,373,264/84,450
  6. Step 6: Final answer
    x = 393,491.69

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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.