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Finding the Third Proportional to 173,684 and 378,580

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Solution

The third proportional to 173,684 and 378,580 is: 825,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,684 : 378,580 = 378,580 : x
  2. Step 2: Convert to fraction form
    173,684/378,580 = 378,580/x
  3. Step 3: Cross multiply
    173,684x = 378,580 × 378,580
  4. Step 4: Simplify right side
    173,684x = 143,322,816,400
  5. Step 5: Solve for x
    x = 143,322,816,400/173,684
  6. Step 6: Final answer
    x = 825,192.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.