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Finding the Third Proportional to 156,525.75 and 209,692.13

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Solution

The third proportional to 156,525.75 and 209,692.13 is: 280,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,525.75 : 209,692.13 = 209,692.13 : x
  2. Step 2: Convert to fraction form
    156,525.75/209,692.13 = 209,692.13/x
  3. Step 3: Cross multiply
    156,525.75x = 209,692.13 × 209,692.13
  4. Step 4: Simplify right side
    156,525.75x = 43,970,787,287.02
  5. Step 5: Solve for x
    x = 43,970,787,287.02/156,525.75
  6. Step 6: Final answer
    x = 280,917.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.