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Finding the Third Proportional to 206,526 and 301,861

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Solution

The third proportional to 206,526 and 301,861 is: 441,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,526 : 301,861 = 301,861 : x
  2. Step 2: Convert to fraction form
    206,526/301,861 = 301,861/x
  3. Step 3: Cross multiply
    206,526x = 301,861 × 301,861
  4. Step 4: Simplify right side
    206,526x = 91,120,063,321
  5. Step 5: Solve for x
    x = 91,120,063,321/206,526
  6. Step 6: Final answer
    x = 441,203.84

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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.