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Finding the Third Proportional to 84,274 and 194,605

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Solution

The third proportional to 84,274 and 194,605 is: 449,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,274 : 194,605 = 194,605 : x
  2. Step 2: Convert to fraction form
    84,274/194,605 = 194,605/x
  3. Step 3: Cross multiply
    84,274x = 194,605 × 194,605
  4. Step 4: Simplify right side
    84,274x = 37,871,106,025
  5. Step 5: Solve for x
    x = 37,871,106,025/84,274
  6. Step 6: Final answer
    x = 449,380.66

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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.