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Finding the Third Proportional to 174,672.25 and 262,883

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Solution

The third proportional to 174,672.25 and 262,883 is: 395,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,672.25 : 262,883 = 262,883 : x
  2. Step 2: Convert to fraction form
    174,672.25/262,883 = 262,883/x
  3. Step 3: Cross multiply
    174,672.25x = 262,883 × 262,883
  4. Step 4: Simplify right side
    174,672.25x = 69,107,471,689
  5. Step 5: Solve for x
    x = 69,107,471,689/174,672.25
  6. Step 6: Final answer
    x = 395,640.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.