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Finding the Third Proportional to 194,179 and 401,836

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Solution

The third proportional to 194,179 and 401,836 is: 831,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,179 : 401,836 = 401,836 : x
  2. Step 2: Convert to fraction form
    194,179/401,836 = 401,836/x
  3. Step 3: Cross multiply
    194,179x = 401,836 × 401,836
  4. Step 4: Simplify right side
    194,179x = 161,472,170,896
  5. Step 5: Solve for x
    x = 161,472,170,896/194,179
  6. Step 6: Final answer
    x = 831,563.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.