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Finding the Third Proportional to 156,669 and 321,634

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Solution

The third proportional to 156,669 and 321,634 is: 660,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,669 : 321,634 = 321,634 : x
  2. Step 2: Convert to fraction form
    156,669/321,634 = 321,634/x
  3. Step 3: Cross multiply
    156,669x = 321,634 × 321,634
  4. Step 4: Simplify right side
    156,669x = 103,448,429,956
  5. Step 5: Solve for x
    x = 103,448,429,956/156,669
  6. Step 6: Final answer
    x = 660,299.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.