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Finding the Third Proportional to 174,357.25 and 269,304.75

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Solution

The third proportional to 174,357.25 and 269,304.75 is: 415,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,357.25 : 269,304.75 = 269,304.75 : x
  2. Step 2: Convert to fraction form
    174,357.25/269,304.75 = 269,304.75/x
  3. Step 3: Cross multiply
    174,357.25x = 269,304.75 × 269,304.75
  4. Step 4: Simplify right side
    174,357.25x = 72,525,048,372.56
  5. Step 5: Solve for x
    x = 72,525,048,372.56/174,357.25
  6. Step 6: Final answer
    x = 415,956.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.