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Finding the Third Proportional to 156,734 and 344,568

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Solution

The third proportional to 156,734 and 344,568 is: 757,507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,734 : 344,568 = 344,568 : x
  2. Step 2: Convert to fraction form
    156,734/344,568 = 344,568/x
  3. Step 3: Cross multiply
    156,734x = 344,568 × 344,568
  4. Step 4: Simplify right side
    156,734x = 118,727,106,624
  5. Step 5: Solve for x
    x = 118,727,106,624/156,734
  6. Step 6: Final answer
    x = 757,507.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.