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Finding the Third Proportional to 185,659 and 406,093

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Solution

The third proportional to 185,659 and 406,093 is: 888,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,659 : 406,093 = 406,093 : x
  2. Step 2: Convert to fraction form
    185,659/406,093 = 406,093/x
  3. Step 3: Cross multiply
    185,659x = 406,093 × 406,093
  4. Step 4: Simplify right side
    185,659x = 164,911,524,649
  5. Step 5: Solve for x
    x = 164,911,524,649/185,659
  6. Step 6: Final answer
    x = 888,249.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.