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Finding the Third Proportional to 136,170 and 294,204

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Solution

The third proportional to 136,170 and 294,204 is: 635,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,170 : 294,204 = 294,204 : x
  2. Step 2: Convert to fraction form
    136,170/294,204 = 294,204/x
  3. Step 3: Cross multiply
    136,170x = 294,204 × 294,204
  4. Step 4: Simplify right side
    136,170x = 86,555,993,616
  5. Step 5: Solve for x
    x = 86,555,993,616/136,170
  6. Step 6: Final answer
    x = 635,646.57

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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.