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Finding the Third Proportional to 186,517.50 and 408,027

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Solution

The third proportional to 186,517.50 and 408,027 is: 892,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,517.50 : 408,027 = 408,027 : x
  2. Step 2: Convert to fraction form
    186,517.50/408,027 = 408,027/x
  3. Step 3: Cross multiply
    186,517.50x = 408,027 × 408,027
  4. Step 4: Simplify right side
    186,517.50x = 166,486,032,729
  5. Step 5: Solve for x
    x = 166,486,032,729/186,517.50
  6. Step 6: Final answer
    x = 892,602.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.