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Finding the Third Proportional to 95,362 and 206,788

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Solution

The third proportional to 95,362 and 206,788 is: 448,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,362 : 206,788 = 206,788 : x
  2. Step 2: Convert to fraction form
    95,362/206,788 = 206,788/x
  3. Step 3: Cross multiply
    95,362x = 206,788 × 206,788
  4. Step 4: Simplify right side
    95,362x = 42,761,276,944
  5. Step 5: Solve for x
    x = 42,761,276,944/95,362
  6. Step 6: Final answer
    x = 448,410.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.