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Finding the Third Proportional to 114,722.44 and 269,991.56

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Solution

The third proportional to 114,722.44 and 269,991.56 is: 635,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,722.44 : 269,991.56 = 269,991.56 : x
  2. Step 2: Convert to fraction form
    114,722.44/269,991.56 = 269,991.56/x
  3. Step 3: Cross multiply
    114,722.44x = 269,991.56 × 269,991.56
  4. Step 4: Simplify right side
    114,722.44x = 72,895,443,821.19
  5. Step 5: Solve for x
    x = 72,895,443,821.19/114,722.44
  6. Step 6: Final answer
    x = 635,407.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.