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Finding the Third Proportional to 169,144 and 367,447

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Solution

The third proportional to 169,144 and 367,447 is: 798,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,144 : 367,447 = 367,447 : x
  2. Step 2: Convert to fraction form
    169,144/367,447 = 367,447/x
  3. Step 3: Cross multiply
    169,144x = 367,447 × 367,447
  4. Step 4: Simplify right side
    169,144x = 135,017,297,809
  5. Step 5: Solve for x
    x = 135,017,297,809/169,144
  6. Step 6: Final answer
    x = 798,238.77

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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.