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Finding the Third Proportional to 206,441 and 301,695

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Solution

The third proportional to 206,441 and 301,695 is: 440,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,441 : 301,695 = 301,695 : x
  2. Step 2: Convert to fraction form
    206,441/301,695 = 301,695/x
  3. Step 3: Cross multiply
    206,441x = 301,695 × 301,695
  4. Step 4: Simplify right side
    206,441x = 91,019,873,025
  5. Step 5: Solve for x
    x = 91,019,873,025/206,441
  6. Step 6: Final answer
    x = 440,900.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.