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Finding the Third Proportional to 156,188.25 and 323,448.19

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Solution

The third proportional to 156,188.25 and 323,448.19 is: 669,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,188.25 : 323,448.19 = 323,448.19 : x
  2. Step 2: Convert to fraction form
    156,188.25/323,448.19 = 323,448.19/x
  3. Step 3: Cross multiply
    156,188.25x = 323,448.19 × 323,448.19
  4. Step 4: Simplify right side
    156,188.25x = 104,618,729,997.04
  5. Step 5: Solve for x
    x = 104,618,729,997.04/156,188.25
  6. Step 6: Final answer
    x = 669,824.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.