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Finding the Third Proportional to 194,109 and 411,546

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Solution

The third proportional to 194,109 and 411,546 is: 872,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,109 : 411,546 = 411,546 : x
  2. Step 2: Convert to fraction form
    194,109/411,546 = 411,546/x
  3. Step 3: Cross multiply
    194,109x = 411,546 × 411,546
  4. Step 4: Simplify right side
    194,109x = 169,370,110,116
  5. Step 5: Solve for x
    x = 169,370,110,116/194,109
  6. Step 6: Final answer
    x = 872,551.56

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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.