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Finding the Third Proportional to 195,284 and 406,119

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Solution

The third proportional to 195,284 and 406,119 is: 844,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,284 : 406,119 = 406,119 : x
  2. Step 2: Convert to fraction form
    195,284/406,119 = 406,119/x
  3. Step 3: Cross multiply
    195,284x = 406,119 × 406,119
  4. Step 4: Simplify right side
    195,284x = 164,932,642,161
  5. Step 5: Solve for x
    x = 164,932,642,161/195,284
  6. Step 6: Final answer
    x = 844,578.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.