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Finding the Third Proportional to 194,694 and 284,649

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Solution

The third proportional to 194,694 and 284,649 is: 416,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,694 : 284,649 = 284,649 : x
  2. Step 2: Convert to fraction form
    194,694/284,649 = 284,649/x
  3. Step 3: Cross multiply
    194,694x = 284,649 × 284,649
  4. Step 4: Simplify right side
    194,694x = 81,025,053,201
  5. Step 5: Solve for x
    x = 81,025,053,201/194,694
  6. Step 6: Final answer
    x = 416,166.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.