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Finding the Third Proportional to 155,518 and 327,636

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Solution

The third proportional to 155,518 and 327,636 is: 690,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,518 : 327,636 = 327,636 : x
  2. Step 2: Convert to fraction form
    155,518/327,636 = 327,636/x
  3. Step 3: Cross multiply
    155,518x = 327,636 × 327,636
  4. Step 4: Simplify right side
    155,518x = 107,345,348,496
  5. Step 5: Solve for x
    x = 107,345,348,496/155,518
  6. Step 6: Final answer
    x = 690,243.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.