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Finding the Third Proportional to 195,278 and 406,107

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Solution

The third proportional to 195,278 and 406,107 is: 844,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,278 : 406,107 = 406,107 : x
  2. Step 2: Convert to fraction form
    195,278/406,107 = 406,107/x
  3. Step 3: Cross multiply
    195,278x = 406,107 × 406,107
  4. Step 4: Simplify right side
    195,278x = 164,922,895,449
  5. Step 5: Solve for x
    x = 164,922,895,449/195,278
  6. Step 6: Final answer
    x = 844,554.41

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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.