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Finding the Third Proportional to 87,364 and 205,194

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Solution

The third proportional to 87,364 and 205,194 is: 481,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,364 : 205,194 = 205,194 : x
  2. Step 2: Convert to fraction form
    87,364/205,194 = 205,194/x
  3. Step 3: Cross multiply
    87,364x = 205,194 × 205,194
  4. Step 4: Simplify right side
    87,364x = 42,104,577,636
  5. Step 5: Solve for x
    x = 42,104,577,636/87,364
  6. Step 6: Final answer
    x = 481,944.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.