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Finding the Third Proportional to 123,519.94 and 269,628.75

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Solution

The third proportional to 123,519.94 and 269,628.75 is: 588,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,519.94 : 269,628.75 = 269,628.75 : x
  2. Step 2: Convert to fraction form
    123,519.94/269,628.75 = 269,628.75/x
  3. Step 3: Cross multiply
    123,519.94x = 269,628.75 × 269,628.75
  4. Step 4: Simplify right side
    123,519.94x = 72,699,662,826.56
  5. Step 5: Solve for x
    x = 72,699,662,826.56/123,519.94
  6. Step 6: Final answer
    x = 588,566.22

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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.