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Finding the Third Proportional to 186,168.38 and 401,856.19

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Solution

The third proportional to 186,168.38 and 401,856.19 is: 867,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,168.38 : 401,856.19 = 401,856.19 : x
  2. Step 2: Convert to fraction form
    186,168.38/401,856.19 = 401,856.19/x
  3. Step 3: Cross multiply
    186,168.38x = 401,856.19 × 401,856.19
  4. Step 4: Simplify right side
    186,168.38x = 161,488,395,432.04
  5. Step 5: Solve for x
    x = 161,488,395,432.04/186,168.38
  6. Step 6: Final answer
    x = 867,431.94

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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.