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Finding the Third Proportional to 194,100 and 411,530

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Solution

The third proportional to 194,100 and 411,530 is: 872,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,100 : 411,530 = 411,530 : x
  2. Step 2: Convert to fraction form
    194,100/411,530 = 411,530/x
  3. Step 3: Cross multiply
    194,100x = 411,530 × 411,530
  4. Step 4: Simplify right side
    194,100x = 169,356,940,900
  5. Step 5: Solve for x
    x = 169,356,940,900/194,100
  6. Step 6: Final answer
    x = 872,524.17

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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.