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Finding the Third Proportional to 111,451.50 and 169,308

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Solution

The third proportional to 111,451.50 and 169,308 is: 257,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,451.50 : 169,308 = 169,308 : x
  2. Step 2: Convert to fraction form
    111,451.50/169,308 = 169,308/x
  3. Step 3: Cross multiply
    111,451.50x = 169,308 × 169,308
  4. Step 4: Simplify right side
    111,451.50x = 28,665,198,864
  5. Step 5: Solve for x
    x = 28,665,198,864/111,451.50
  6. Step 6: Final answer
    x = 257,198.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.