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Finding the Third Proportional to 195,206 and 407,356

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Solution

The third proportional to 195,206 and 407,356 is: 850,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,206 : 407,356 = 407,356 : x
  2. Step 2: Convert to fraction form
    195,206/407,356 = 407,356/x
  3. Step 3: Cross multiply
    195,206x = 407,356 × 407,356
  4. Step 4: Simplify right side
    195,206x = 165,938,910,736
  5. Step 5: Solve for x
    x = 165,938,910,736/195,206
  6. Step 6: Final answer
    x = 850,070.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.