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Finding the Third Proportional to 156,671.25 and 321,638.25

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Solution

The third proportional to 156,671.25 and 321,638.25 is: 660,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,671.25 : 321,638.25 = 321,638.25 : x
  2. Step 2: Convert to fraction form
    156,671.25/321,638.25 = 321,638.25/x
  3. Step 3: Cross multiply
    156,671.25x = 321,638.25 × 321,638.25
  4. Step 4: Simplify right side
    156,671.25x = 103,451,163,863.06
  5. Step 5: Solve for x
    x = 103,451,163,863.06/156,671.25
  6. Step 6: Final answer
    x = 660,307.26

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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.