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Finding the Third Proportional to 110,344.50 and 233,930

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Solution

The third proportional to 110,344.50 and 233,930 is: 495,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,344.50 : 233,930 = 233,930 : x
  2. Step 2: Convert to fraction form
    110,344.50/233,930 = 233,930/x
  3. Step 3: Cross multiply
    110,344.50x = 233,930 × 233,930
  4. Step 4: Simplify right side
    110,344.50x = 54,723,244,900
  5. Step 5: Solve for x
    x = 54,723,244,900/110,344.50
  6. Step 6: Final answer
    x = 495,930.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.