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Finding the Third Proportional to 201,682 and 440,042

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Solution

The third proportional to 201,682 and 440,042 is: 960,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682 : 440,042 = 440,042 : x
  2. Step 2: Convert to fraction form
    201,682/440,042 = 440,042/x
  3. Step 3: Cross multiply
    201,682x = 440,042 × 440,042
  4. Step 4: Simplify right side
    201,682x = 193,636,961,764
  5. Step 5: Solve for x
    x = 193,636,961,764/201,682
  6. Step 6: Final answer
    x = 960,110.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.