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Finding the Third Proportional to 110,949.75 and 180,255.38

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Solution

The third proportional to 110,949.75 and 180,255.38 is: 292,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,949.75 : 180,255.38 = 180,255.38 : x
  2. Step 2: Convert to fraction form
    110,949.75/180,255.38 = 180,255.38/x
  3. Step 3: Cross multiply
    110,949.75x = 180,255.38 × 180,255.38
  4. Step 4: Simplify right side
    110,949.75x = 32,492,000,216.39
  5. Step 5: Solve for x
    x = 32,492,000,216.39/110,949.75
  6. Step 6: Final answer
    x = 292,853.30

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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.