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Finding the Third Proportional to 186,817.88 and 280,414.75

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Solution

The third proportional to 186,817.88 and 280,414.75 is: 420,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,817.88 : 280,414.75 = 280,414.75 : x
  2. Step 2: Convert to fraction form
    186,817.88/280,414.75 = 280,414.75/x
  3. Step 3: Cross multiply
    186,817.88x = 280,414.75 × 280,414.75
  4. Step 4: Simplify right side
    186,817.88x = 78,632,432,017.56
  5. Step 5: Solve for x
    x = 78,632,432,017.56/186,817.88
  6. Step 6: Final answer
    x = 420,904.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.