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Finding the Third Proportional to 206,522 and 301,855

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Solution

The third proportional to 206,522 and 301,855 is: 441,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,522 : 301,855 = 301,855 : x
  2. Step 2: Convert to fraction form
    206,522/301,855 = 301,855/x
  3. Step 3: Cross multiply
    206,522x = 301,855 × 301,855
  4. Step 4: Simplify right side
    206,522x = 91,116,441,025
  5. Step 5: Solve for x
    x = 91,116,441,025/206,522
  6. Step 6: Final answer
    x = 441,194.84

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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.