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Finding the Third Proportional to 156,744 and 338,422

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Solution

The third proportional to 156,744 and 338,422 is: 730,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744 : 338,422 = 338,422 : x
  2. Step 2: Convert to fraction form
    156,744/338,422 = 338,422/x
  3. Step 3: Cross multiply
    156,744x = 338,422 × 338,422
  4. Step 4: Simplify right side
    156,744x = 114,529,450,084
  5. Step 5: Solve for x
    x = 114,529,450,084/156,744
  6. Step 6: Final answer
    x = 730,678.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.