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Finding the Third Proportional to 110,990.25 and 180,326.25

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Solution

The third proportional to 110,990.25 and 180,326.25 is: 292,976.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,990.25 : 180,326.25 = 180,326.25 : x
  2. Step 2: Convert to fraction form
    110,990.25/180,326.25 = 180,326.25/x
  3. Step 3: Cross multiply
    110,990.25x = 180,326.25 × 180,326.25
  4. Step 4: Simplify right side
    110,990.25x = 32,517,556,439.06
  5. Step 5: Solve for x
    x = 32,517,556,439.06/110,990.25
  6. Step 6: Final answer
    x = 292,976.69

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.