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Finding the Third Proportional to 194,222 and 401,930

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Solution

The third proportional to 194,222 and 401,930 is: 831,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,222 : 401,930 = 401,930 : x
  2. Step 2: Convert to fraction form
    194,222/401,930 = 401,930/x
  3. Step 3: Cross multiply
    194,222x = 401,930 × 401,930
  4. Step 4: Simplify right side
    194,222x = 161,547,724,900
  5. Step 5: Solve for x
    x = 161,547,724,900/194,222
  6. Step 6: Final answer
    x = 831,768.41

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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.