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Finding the Third Proportional to 119,233.27 and 261,999.56

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Solution

The third proportional to 119,233.27 and 261,999.56 is: 575,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,233.27 : 261,999.56 = 261,999.56 : x
  2. Step 2: Convert to fraction form
    119,233.27/261,999.56 = 261,999.56/x
  3. Step 3: Cross multiply
    119,233.27x = 261,999.56 × 261,999.56
  4. Step 4: Simplify right side
    119,233.27x = 68,643,770,750.19
  5. Step 5: Solve for x
    x = 68,643,770,750.19/119,233.27
  6. Step 6: Final answer
    x = 575,709.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.