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Finding the Third Proportional to 84,292 and 194,649

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Solution

The third proportional to 84,292 and 194,649 is: 449,487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,292 : 194,649 = 194,649 : x
  2. Step 2: Convert to fraction form
    84,292/194,649 = 194,649/x
  3. Step 3: Cross multiply
    84,292x = 194,649 × 194,649
  4. Step 4: Simplify right side
    84,292x = 37,888,233,201
  5. Step 5: Solve for x
    x = 37,888,233,201/84,292
  6. Step 6: Final answer
    x = 449,487.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.