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Finding the Third Proportional to 156,321.75 and 318,167.25

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Solution

The third proportional to 156,321.75 and 318,167.25 is: 647,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,321.75 : 318,167.25 = 318,167.25 : x
  2. Step 2: Convert to fraction form
    156,321.75/318,167.25 = 318,167.25/x
  3. Step 3: Cross multiply
    156,321.75x = 318,167.25 × 318,167.25
  4. Step 4: Simplify right side
    156,321.75x = 101,230,398,972.56
  5. Step 5: Solve for x
    x = 101,230,398,972.56/156,321.75
  6. Step 6: Final answer
    x = 647,577.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.