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Finding the Third Proportional to 185,168 and 396,580

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Solution

The third proportional to 185,168 and 396,580 is: 849,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,168 : 396,580 = 396,580 : x
  2. Step 2: Convert to fraction form
    185,168/396,580 = 396,580/x
  3. Step 3: Cross multiply
    185,168x = 396,580 × 396,580
  4. Step 4: Simplify right side
    185,168x = 157,275,696,400
  5. Step 5: Solve for x
    x = 157,275,696,400/185,168
  6. Step 6: Final answer
    x = 849,367.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.