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Finding the Third Proportional to 110,200.50 and 180,933.75

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Solution

The third proportional to 110,200.50 and 180,933.75 is: 297,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,200.50 : 180,933.75 = 180,933.75 : x
  2. Step 2: Convert to fraction form
    110,200.50/180,933.75 = 180,933.75/x
  3. Step 3: Cross multiply
    110,200.50x = 180,933.75 × 180,933.75
  4. Step 4: Simplify right side
    110,200.50x = 32,737,021,889.06
  5. Step 5: Solve for x
    x = 32,737,021,889.06/110,200.50
  6. Step 6: Final answer
    x = 297,067.82

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.