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Finding the Third Proportional to 201,676 and 440,030

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Solution

The third proportional to 201,676 and 440,030 is: 960,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676 : 440,030 = 440,030 : x
  2. Step 2: Convert to fraction form
    201,676/440,030 = 440,030/x
  3. Step 3: Cross multiply
    201,676x = 440,030 × 440,030
  4. Step 4: Simplify right side
    201,676x = 193,626,400,900
  5. Step 5: Solve for x
    x = 193,626,400,900/201,676
  6. Step 6: Final answer
    x = 960,086.48

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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.