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Finding the Third Proportional to 87,201 and 188,340

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Solution

The third proportional to 87,201 and 188,340 is: 406,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,201 : 188,340 = 188,340 : x
  2. Step 2: Convert to fraction form
    87,201/188,340 = 188,340/x
  3. Step 3: Cross multiply
    87,201x = 188,340 × 188,340
  4. Step 4: Simplify right side
    87,201x = 35,471,955,600
  5. Step 5: Solve for x
    x = 35,471,955,600/87,201
  6. Step 6: Final answer
    x = 406,783.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.