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Finding the Third Proportional to 180,559.88 and 384,447.75

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Solution

The third proportional to 180,559.88 and 384,447.75 is: 818,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,559.88 : 384,447.75 = 384,447.75 : x
  2. Step 2: Convert to fraction form
    180,559.88/384,447.75 = 384,447.75/x
  3. Step 3: Cross multiply
    180,559.88x = 384,447.75 × 384,447.75
  4. Step 4: Simplify right side
    180,559.88x = 147,800,072,480.06
  5. Step 5: Solve for x
    x = 147,800,072,480.06/180,559.88
  6. Step 6: Final answer
    x = 818,565.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.