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Finding the Third Proportional to 186,173.44 and 401,863.78

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Solution

The third proportional to 186,173.44 and 401,863.78 is: 867,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,173.44 : 401,863.78 = 401,863.78 : x
  2. Step 2: Convert to fraction form
    186,173.44/401,863.78 = 401,863.78/x
  3. Step 3: Cross multiply
    186,173.44x = 401,863.78 × 401,863.78
  4. Step 4: Simplify right side
    186,173.44x = 161,494,498,680.55
  5. Step 5: Solve for x
    x = 161,494,498,680.55/186,173.44
  6. Step 6: Final answer
    x = 867,441.14

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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.