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Finding the Third Proportional to 156,103.50 and 338,452.50

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Solution

The third proportional to 156,103.50 and 338,452.50 is: 733,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,103.50 : 338,452.50 = 338,452.50 : x
  2. Step 2: Convert to fraction form
    156,103.50/338,452.50 = 338,452.50/x
  3. Step 3: Cross multiply
    156,103.50x = 338,452.50 × 338,452.50
  4. Step 4: Simplify right side
    156,103.50x = 114,550,094,756.25
  5. Step 5: Solve for x
    x = 114,550,094,756.25/156,103.50
  6. Step 6: Final answer
    x = 733,808.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.