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Finding the Third Proportional to 155,512 and 327,624

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Solution

The third proportional to 155,512 and 327,624 is: 690,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,512 : 327,624 = 327,624 : x
  2. Step 2: Convert to fraction form
    155,512/327,624 = 327,624/x
  3. Step 3: Cross multiply
    155,512x = 327,624 × 327,624
  4. Step 4: Simplify right side
    155,512x = 107,337,485,376
  5. Step 5: Solve for x
    x = 107,337,485,376/155,512
  6. Step 6: Final answer
    x = 690,219.95

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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.