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Finding the Third Proportional to 90,300 and 194,474

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Solution

The third proportional to 90,300 and 194,474 is: 418,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,300 : 194,474 = 194,474 : x
  2. Step 2: Convert to fraction form
    90,300/194,474 = 194,474/x
  3. Step 3: Cross multiply
    90,300x = 194,474 × 194,474
  4. Step 4: Simplify right side
    90,300x = 37,820,136,676
  5. Step 5: Solve for x
    x = 37,820,136,676/90,300
  6. Step 6: Final answer
    x = 418,827.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.