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Finding the Third Proportional to 185,536 and 397,308

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Solution

The third proportional to 185,536 and 397,308 is: 850,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,536 : 397,308 = 397,308 : x
  2. Step 2: Convert to fraction form
    185,536/397,308 = 397,308/x
  3. Step 3: Cross multiply
    185,536x = 397,308 × 397,308
  4. Step 4: Simplify right side
    185,536x = 157,853,646,864
  5. Step 5: Solve for x
    x = 157,853,646,864/185,536
  6. Step 6: Final answer
    x = 850,797.94

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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.