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Finding the Third Proportional to 168,725 and 356,422

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Solution

The third proportional to 168,725 and 356,422 is: 752,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,725 : 356,422 = 356,422 : x
  2. Step 2: Convert to fraction form
    168,725/356,422 = 356,422/x
  3. Step 3: Cross multiply
    168,725x = 356,422 × 356,422
  4. Step 4: Simplify right side
    168,725x = 127,036,642,084
  5. Step 5: Solve for x
    x = 127,036,642,084/168,725
  6. Step 6: Final answer
    x = 752,921.27

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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.