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Finding the Third Proportional to 120,937.13 and 263,287.88

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Solution

The third proportional to 120,937.13 and 263,287.88 is: 573,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,937.13 : 263,287.88 = 263,287.88 : x
  2. Step 2: Convert to fraction form
    120,937.13/263,287.88 = 263,287.88/x
  3. Step 3: Cross multiply
    120,937.13x = 263,287.88 × 263,287.88
  4. Step 4: Simplify right side
    120,937.13x = 69,320,505,122.02
  5. Step 5: Solve for x
    x = 69,320,505,122.02/120,937.13
  6. Step 6: Final answer
    x = 573,194.58

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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.