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Finding the Third Proportional to 87,362 and 205,189

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Solution

The third proportional to 87,362 and 205,189 is: 481,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,362 : 205,189 = 205,189 : x
  2. Step 2: Convert to fraction form
    87,362/205,189 = 205,189/x
  3. Step 3: Cross multiply
    87,362x = 205,189 × 205,189
  4. Step 4: Simplify right side
    87,362x = 42,102,525,721
  5. Step 5: Solve for x
    x = 42,102,525,721/87,362
  6. Step 6: Final answer
    x = 481,931.80

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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.