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Finding the Third Proportional to 156,667 and 321,630

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Solution

The third proportional to 156,667 and 321,630 is: 660,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,667 : 321,630 = 321,630 : x
  2. Step 2: Convert to fraction form
    156,667/321,630 = 321,630/x
  3. Step 3: Cross multiply
    156,667x = 321,630 × 321,630
  4. Step 4: Simplify right side
    156,667x = 103,445,856,900
  5. Step 5: Solve for x
    x = 103,445,856,900/156,667
  6. Step 6: Final answer
    x = 660,291.30

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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.