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Finding the Third Proportional to 114,704.25 and 269,871.75

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Solution

The third proportional to 114,704.25 and 269,871.75 is: 634,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,704.25 : 269,871.75 = 269,871.75 : x
  2. Step 2: Convert to fraction form
    114,704.25/269,871.75 = 269,871.75/x
  3. Step 3: Cross multiply
    114,704.25x = 269,871.75 × 269,871.75
  4. Step 4: Simplify right side
    114,704.25x = 72,830,761,448.06
  5. Step 5: Solve for x
    x = 72,830,761,448.06/114,704.25
  6. Step 6: Final answer
    x = 634,943.88

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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.