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Finding the Third Proportional to 186,174 and 401,868

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Solution

The third proportional to 186,174 and 401,868 is: 867,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,174 : 401,868 = 401,868 : x
  2. Step 2: Convert to fraction form
    186,174/401,868 = 401,868/x
  3. Step 3: Cross multiply
    186,174x = 401,868 × 401,868
  4. Step 4: Simplify right side
    186,174x = 161,497,889,424
  5. Step 5: Solve for x
    x = 161,497,889,424/186,174
  6. Step 6: Final answer
    x = 867,456.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.