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Finding the Third Proportional to 169,297 and 361,094

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Solution

The third proportional to 169,297 and 361,094 is: 770,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,297 : 361,094 = 361,094 : x
  2. Step 2: Convert to fraction form
    169,297/361,094 = 361,094/x
  3. Step 3: Cross multiply
    169,297x = 361,094 × 361,094
  4. Step 4: Simplify right side
    169,297x = 130,388,876,836
  5. Step 5: Solve for x
    x = 130,388,876,836/169,297
  6. Step 6: Final answer
    x = 770,178.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.