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Finding the Third Proportional to 233,023.50 and 311,451.75

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Solution

The third proportional to 233,023.50 and 311,451.75 is: 416,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,023.50 : 311,451.75 = 311,451.75 : x
  2. Step 2: Convert to fraction form
    233,023.50/311,451.75 = 311,451.75/x
  3. Step 3: Cross multiply
    233,023.50x = 311,451.75 × 311,451.75
  4. Step 4: Simplify right side
    233,023.50x = 97,002,192,578.06
  5. Step 5: Solve for x
    x = 97,002,192,578.06/233,023.50
  6. Step 6: Final answer
    x = 416,276.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.