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Finding the Third Proportional to 156,667 and 321,628

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Solution

The third proportional to 156,667 and 321,628 is: 660,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,667 : 321,628 = 321,628 : x
  2. Step 2: Convert to fraction form
    156,667/321,628 = 321,628/x
  3. Step 3: Cross multiply
    156,667x = 321,628 × 321,628
  4. Step 4: Simplify right side
    156,667x = 103,444,570,384
  5. Step 5: Solve for x
    x = 103,444,570,384/156,667
  6. Step 6: Final answer
    x = 660,283.09

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