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Finding the Third Proportional to 95,409 and 205,307

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Solution

The third proportional to 95,409 and 205,307 is: 441,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,409 : 205,307 = 205,307 : x
  2. Step 2: Convert to fraction form
    95,409/205,307 = 205,307/x
  3. Step 3: Cross multiply
    95,409x = 205,307 × 205,307
  4. Step 4: Simplify right side
    95,409x = 42,150,964,249
  5. Step 5: Solve for x
    x = 42,150,964,249/95,409
  6. Step 6: Final answer
    x = 441,792.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.