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Finding the Third Proportional to 201,626 and 440,145

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Solution

The third proportional to 201,626 and 440,145 is: 960,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,626 : 440,145 = 440,145 : x
  2. Step 2: Convert to fraction form
    201,626/440,145 = 440,145/x
  3. Step 3: Cross multiply
    201,626x = 440,145 × 440,145
  4. Step 4: Simplify right side
    201,626x = 193,727,621,025
  5. Step 5: Solve for x
    x = 193,727,621,025/201,626
  6. Step 6: Final answer
    x = 960,826.58

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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.