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Finding the Third Proportional to 156,960 and 322,190

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Solution

The third proportional to 156,960 and 322,190 is: 661,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,960 : 322,190 = 322,190 : x
  2. Step 2: Convert to fraction form
    156,960/322,190 = 322,190/x
  3. Step 3: Cross multiply
    156,960x = 322,190 × 322,190
  4. Step 4: Simplify right side
    156,960x = 103,806,396,100
  5. Step 5: Solve for x
    x = 103,806,396,100/156,960
  6. Step 6: Final answer
    x = 661,355.73

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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.