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Finding the Third Proportional to 175,067 and 277,909

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Solution

The third proportional to 175,067 and 277,909 is: 441,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,067 : 277,909 = 277,909 : x
  2. Step 2: Convert to fraction form
    175,067/277,909 = 277,909/x
  3. Step 3: Cross multiply
    175,067x = 277,909 × 277,909
  4. Step 4: Simplify right side
    175,067x = 77,233,412,281
  5. Step 5: Solve for x
    x = 77,233,412,281/175,067
  6. Step 6: Final answer
    x = 441,164.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.