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Finding the Third Proportional to 155,936 and 322,568

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Solution

The third proportional to 155,936 and 322,568 is: 667,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,936 : 322,568 = 322,568 : x
  2. Step 2: Convert to fraction form
    155,936/322,568 = 322,568/x
  3. Step 3: Cross multiply
    155,936x = 322,568 × 322,568
  4. Step 4: Simplify right side
    155,936x = 104,050,114,624
  5. Step 5: Solve for x
    x = 104,050,114,624/155,936
  6. Step 6: Final answer
    x = 667,261.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.