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Finding the Third Proportional to 186,002 and 401,812

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Solution

The third proportional to 186,002 and 401,812 is: 868,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,002 : 401,812 = 401,812 : x
  2. Step 2: Convert to fraction form
    186,002/401,812 = 401,812/x
  3. Step 3: Cross multiply
    186,002x = 401,812 × 401,812
  4. Step 4: Simplify right side
    186,002x = 161,452,883,344
  5. Step 5: Solve for x
    x = 161,452,883,344/186,002
  6. Step 6: Final answer
    x = 868,016.92

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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.