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Finding the Third Proportional to 185,556 and 397,344

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Solution

The third proportional to 185,556 and 397,344 is: 850,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,556 : 397,344 = 397,344 : x
  2. Step 2: Convert to fraction form
    185,556/397,344 = 397,344/x
  3. Step 3: Cross multiply
    185,556x = 397,344 × 397,344
  4. Step 4: Simplify right side
    185,556x = 157,882,254,336
  5. Step 5: Solve for x
    x = 157,882,254,336/185,556
  6. Step 6: Final answer
    x = 850,860.41

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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.