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Finding the Third Proportional to 88,894 and 188,245

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Solution

The third proportional to 88,894 and 188,245 is: 398,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,894 : 188,245 = 188,245 : x
  2. Step 2: Convert to fraction form
    88,894/188,245 = 188,245/x
  3. Step 3: Cross multiply
    88,894x = 188,245 × 188,245
  4. Step 4: Simplify right side
    88,894x = 35,436,180,025
  5. Step 5: Solve for x
    x = 35,436,180,025/88,894
  6. Step 6: Final answer
    x = 398,634.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.