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Finding the Third Proportional to 174,939.75 and 270,141.75

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Solution

The third proportional to 174,939.75 and 270,141.75 is: 417,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,939.75 : 270,141.75 = 270,141.75 : x
  2. Step 2: Convert to fraction form
    174,939.75/270,141.75 = 270,141.75/x
  3. Step 3: Cross multiply
    174,939.75x = 270,141.75 × 270,141.75
  4. Step 4: Simplify right side
    174,939.75x = 72,976,565,093.06
  5. Step 5: Solve for x
    x = 72,976,565,093.06/174,939.75
  6. Step 6: Final answer
    x = 417,152.56

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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.