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Finding the Third Proportional to 169,208 and 367,576

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Solution

The third proportional to 169,208 and 367,576 is: 798,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,208 : 367,576 = 367,576 : x
  2. Step 2: Convert to fraction form
    169,208/367,576 = 367,576/x
  3. Step 3: Cross multiply
    169,208x = 367,576 × 367,576
  4. Step 4: Simplify right side
    169,208x = 135,112,115,776
  5. Step 5: Solve for x
    x = 135,112,115,776/169,208
  6. Step 6: Final answer
    x = 798,497.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.