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Finding the Third Proportional to 175,586 and 386,180

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Solution

The third proportional to 175,586 and 386,180 is: 849,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,586 : 386,180 = 386,180 : x
  2. Step 2: Convert to fraction form
    175,586/386,180 = 386,180/x
  3. Step 3: Cross multiply
    175,586x = 386,180 × 386,180
  4. Step 4: Simplify right side
    175,586x = 149,134,992,400
  5. Step 5: Solve for x
    x = 149,134,992,400/175,586
  6. Step 6: Final answer
    x = 849,355.83

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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.