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Finding the Third Proportional to 206,169 and 437,610

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Solution

The third proportional to 206,169 and 437,610 is: 928,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,169 : 437,610 = 437,610 : x
  2. Step 2: Convert to fraction form
    206,169/437,610 = 437,610/x
  3. Step 3: Cross multiply
    206,169x = 437,610 × 437,610
  4. Step 4: Simplify right side
    206,169x = 191,502,512,100
  5. Step 5: Solve for x
    x = 191,502,512,100/206,169
  6. Step 6: Final answer
    x = 928,861.82

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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.