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Finding the Third Proportional to 174,458.25 and 251,520.75

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Solution

The third proportional to 174,458.25 and 251,520.75 is: 362,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,458.25 : 251,520.75 = 251,520.75 : x
  2. Step 2: Convert to fraction form
    174,458.25/251,520.75 = 251,520.75/x
  3. Step 3: Cross multiply
    174,458.25x = 251,520.75 × 251,520.75
  4. Step 4: Simplify right side
    174,458.25x = 63,262,687,680.56
  5. Step 5: Solve for x
    x = 63,262,687,680.56/174,458.25
  6. Step 6: Final answer
    x = 362,623.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.