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Finding the Third Proportional to 133,809 and 197,016

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Solution

The third proportional to 133,809 and 197,016 is: 290,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,809 : 197,016 = 197,016 : x
  2. Step 2: Convert to fraction form
    133,809/197,016 = 197,016/x
  3. Step 3: Cross multiply
    133,809x = 197,016 × 197,016
  4. Step 4: Simplify right side
    133,809x = 38,815,304,256
  5. Step 5: Solve for x
    x = 38,815,304,256/133,809
  6. Step 6: Final answer
    x = 290,079.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.