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Finding the Third Proportional to 185,458 and 397,161

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Solution

The third proportional to 185,458 and 397,161 is: 850,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,458 : 397,161 = 397,161 : x
  2. Step 2: Convert to fraction form
    185,458/397,161 = 397,161/x
  3. Step 3: Cross multiply
    185,458x = 397,161 × 397,161
  4. Step 4: Simplify right side
    185,458x = 157,736,859,921
  5. Step 5: Solve for x
    x = 157,736,859,921/185,458
  6. Step 6: Final answer
    x = 850,526.05

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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.