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Finding the Third Proportional to 88,419 and 180,923

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Solution

The third proportional to 88,419 and 180,923 is: 370,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,419 : 180,923 = 180,923 : x
  2. Step 2: Convert to fraction form
    88,419/180,923 = 180,923/x
  3. Step 3: Cross multiply
    88,419x = 180,923 × 180,923
  4. Step 4: Simplify right side
    88,419x = 32,733,131,929
  5. Step 5: Solve for x
    x = 32,733,131,929/88,419
  6. Step 6: Final answer
    x = 370,204.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.