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Finding the Third Proportional to 171,983.25 and 378,001.69

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Solution

The third proportional to 171,983.25 and 378,001.69 is: 830,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,983.25 : 378,001.69 = 378,001.69 : x
  2. Step 2: Convert to fraction form
    171,983.25/378,001.69 = 378,001.69/x
  3. Step 3: Cross multiply
    171,983.25x = 378,001.69 × 378,001.69
  4. Step 4: Simplify right side
    171,983.25x = 142,885,275,752.85
  5. Step 5: Solve for x
    x = 142,885,275,752.85/171,983.25
  6. Step 6: Final answer
    x = 830,809.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.