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Finding the Third Proportional to 186,592.50 and 280,824.75

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Solution

The third proportional to 186,592.50 and 280,824.75 is: 422,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,592.50 : 280,824.75 = 280,824.75 : x
  2. Step 2: Convert to fraction form
    186,592.50/280,824.75 = 280,824.75/x
  3. Step 3: Cross multiply
    186,592.50x = 280,824.75 × 280,824.75
  4. Step 4: Simplify right side
    186,592.50x = 78,862,540,212.56
  5. Step 5: Solve for x
    x = 78,862,540,212.56/186,592.50
  6. Step 6: Final answer
    x = 422,645.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.