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Finding the Third Proportional to 185,478 and 397,200

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Solution

The third proportional to 185,478 and 397,200 is: 850,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,478 : 397,200 = 397,200 : x
  2. Step 2: Convert to fraction form
    185,478/397,200 = 397,200/x
  3. Step 3: Cross multiply
    185,478x = 397,200 × 397,200
  4. Step 4: Simplify right side
    185,478x = 157,767,840,000
  5. Step 5: Solve for x
    x = 157,767,840,000/185,478
  6. Step 6: Final answer
    x = 850,601.37

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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.