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Finding the Third Proportional to 206,166 and 437,604

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Solution

The third proportional to 206,166 and 437,604 is: 928,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166 : 437,604 = 437,604 : x
  2. Step 2: Convert to fraction form
    206,166/437,604 = 437,604/x
  3. Step 3: Cross multiply
    206,166x = 437,604 × 437,604
  4. Step 4: Simplify right side
    206,166x = 191,497,260,816
  5. Step 5: Solve for x
    x = 191,497,260,816/206,166
  6. Step 6: Final answer
    x = 928,849.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.