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Finding the Third Proportional to 156,742 and 344,584

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Solution

The third proportional to 156,742 and 344,584 is: 757,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742 : 344,584 = 344,584 : x
  2. Step 2: Convert to fraction form
    156,742/344,584 = 344,584/x
  3. Step 3: Cross multiply
    156,742x = 344,584 × 344,584
  4. Step 4: Simplify right side
    156,742x = 118,738,133,056
  5. Step 5: Solve for x
    x = 118,738,133,056/156,742
  6. Step 6: Final answer
    x = 757,538.71

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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.