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Finding the Third Proportional to 218,084 and 444,187

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Solution

The third proportional to 218,084 and 444,187 is: 904,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,084 : 444,187 = 444,187 : x
  2. Step 2: Convert to fraction form
    218,084/444,187 = 444,187/x
  3. Step 3: Cross multiply
    218,084x = 444,187 × 444,187
  4. Step 4: Simplify right side
    218,084x = 197,302,090,969
  5. Step 5: Solve for x
    x = 197,302,090,969/218,084
  6. Step 6: Final answer
    x = 904,706.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.