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Finding the Third Proportional to 174,630.94 and 263,314.13

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Solution

The third proportional to 174,630.94 and 263,314.13 is: 397,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,630.94 : 263,314.13 = 263,314.13 : x
  2. Step 2: Convert to fraction form
    174,630.94/263,314.13 = 263,314.13/x
  3. Step 3: Cross multiply
    174,630.94x = 263,314.13 × 263,314.13
  4. Step 4: Simplify right side
    174,630.94x = 69,334,328,424.52
  5. Step 5: Solve for x
    x = 69,334,328,424.52/174,630.94
  6. Step 6: Final answer
    x = 397,033.48

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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.