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Finding the Third Proportional to 120,884.91 and 263,434.78

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Solution

The third proportional to 120,884.91 and 263,434.78 is: 574,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,884.91 : 263,434.78 = 263,434.78 : x
  2. Step 2: Convert to fraction form
    120,884.91/263,434.78 = 263,434.78/x
  3. Step 3: Cross multiply
    120,884.91x = 263,434.78 × 263,434.78
  4. Step 4: Simplify right side
    120,884.91x = 69,397,883,972.24
  5. Step 5: Solve for x
    x = 69,397,883,972.24/120,884.91
  6. Step 6: Final answer
    x = 574,082.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.