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Finding the Third Proportional to 136,164 and 294,192

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Solution

The third proportional to 136,164 and 294,192 is: 635,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,164 : 294,192 = 294,192 : x
  2. Step 2: Convert to fraction form
    136,164/294,192 = 294,192/x
  3. Step 3: Cross multiply
    136,164x = 294,192 × 294,192
  4. Step 4: Simplify right side
    136,164x = 86,548,932,864
  5. Step 5: Solve for x
    x = 86,548,932,864/136,164
  6. Step 6: Final answer
    x = 635,622.73

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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.