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Finding the Third Proportional to 195,266 and 406,081

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Solution

The third proportional to 195,266 and 406,081 is: 844,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,266 : 406,081 = 406,081 : x
  2. Step 2: Convert to fraction form
    195,266/406,081 = 406,081/x
  3. Step 3: Cross multiply
    195,266x = 406,081 × 406,081
  4. Step 4: Simplify right side
    195,266x = 164,901,778,561
  5. Step 5: Solve for x
    x = 164,901,778,561/195,266
  6. Step 6: Final answer
    x = 844,498.16

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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.