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Finding the Third Proportional to 68,584.50 and 165,210.75

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Solution

The third proportional to 68,584.50 and 165,210.75 is: 397,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,584.50 : 165,210.75 = 165,210.75 : x
  2. Step 2: Convert to fraction form
    68,584.50/165,210.75 = 165,210.75/x
  3. Step 3: Cross multiply
    68,584.50x = 165,210.75 × 165,210.75
  4. Step 4: Simplify right side
    68,584.50x = 27,294,591,915.56
  5. Step 5: Solve for x
    x = 27,294,591,915.56/68,584.50
  6. Step 6: Final answer
    x = 397,970.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.