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Finding the Third Proportional to 194,084 and 411,496

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Solution

The third proportional to 194,084 and 411,496 is: 872,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,084 : 411,496 = 411,496 : x
  2. Step 2: Convert to fraction form
    194,084/411,496 = 411,496/x
  3. Step 3: Cross multiply
    194,084x = 411,496 × 411,496
  4. Step 4: Simplify right side
    194,084x = 169,328,958,016
  5. Step 5: Solve for x
    x = 169,328,958,016/194,084
  6. Step 6: Final answer
    x = 872,451.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.