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Finding the Third Proportional to 174,694.50 and 263,702.25

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Solution

The third proportional to 174,694.50 and 263,702.25 is: 398,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,694.50 : 263,702.25 = 263,702.25 : x
  2. Step 2: Convert to fraction form
    174,694.50/263,702.25 = 263,702.25/x
  3. Step 3: Cross multiply
    174,694.50x = 263,702.25 × 263,702.25
  4. Step 4: Simplify right side
    174,694.50x = 69,538,876,655.06
  5. Step 5: Solve for x
    x = 69,538,876,655.06/174,694.50
  6. Step 6: Final answer
    x = 398,059.91

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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.