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Finding the Third Proportional to 156,103.50 and 320,065.50

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Solution

The third proportional to 156,103.50 and 320,065.50 is: 656,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,103.50 : 320,065.50 = 320,065.50 : x
  2. Step 2: Convert to fraction form
    156,103.50/320,065.50 = 320,065.50/x
  3. Step 3: Cross multiply
    156,103.50x = 320,065.50 × 320,065.50
  4. Step 4: Simplify right side
    156,103.50x = 102,441,924,290.25
  5. Step 5: Solve for x
    x = 102,441,924,290.25/156,103.50
  6. Step 6: Final answer
    x = 656,243.61

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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.